This is the classic machlokes among poskim about the status of Noach vis a vis the passuk "Tzadik hayah bidorosav."
The first shittah holds that even though he was that much of a tzadik in the dor hamabul, he wouldn't have amounted to that level of greatness in Avraham's dor. The other opinion says that no, he would have been as great as Avraham if he was in a more righteous generation like Avraham was. This latter shittah holds Noach to be the fourth of the Avos.
But what about the first shittah that discounts Noach?
According to that opinion, Yaakov took his chelek and the chelek of his brother within Judaism. The implication is that there were going to be two linear "avot" and two resulting "achim" that would share the burden of building the new nation.
When Esav sold his birthright to Ya'akov, Ya'akov was empowered to take both his chelek and the chelek of his twin. That was why he married both Leah ("v'eyney leah rakot" - Rashi: (rough interpretation) she cried because she was destined for Esav) and Rachel, who was appointed to him from the beginning. That either makes Esav an Av, or Yaakov becomes our Double Down Daddy.
(P.S.: this isn't as "jokey" as other Purim Torah because it's a real question I've seen asked and answered. I've got a whole d'var about Noach as the fourth av and his bris vis a vis klal yisroel)