It does not work that way because panels are rated at 17 volts, not 12. You
have to work with the panels amps not watts.
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Your math is correct. In NY, with about 3 full sun hours daily max, best
case scenario I'd need a 50 watt panel. 50 watts * 3 hours = 150
watt-hours daily.

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Steve Spence
Dir., Green Trust, http://www.green-trust.org
Contributing Editor, http://www.off-grid.net
http://www.rebelwolf.com/essn.html