So very roughly if you assume ALL fixed and discretionary expenses go on a CC then the total monthly income including savings would have to be $10,750. This is a little unrealistic but good enough for a back-of-the-envelope.
Take that number and x12 to get annual: $129k net.
Assume taxes are roughly 33%: Gross annual would have to be about $195k. Round to $200k for good measure.