In this paper, we investigate the Cauchy-Rassias stability in Banach spaces and also the Cauchy-Rassias stability using the alternative fixed point for the functional equation: $$f(frac{sx+ty}{2}+rz)+f(frac{sx+ty}{2}-rz)+f(frac{sx-ty}{2}+rz)+f(frac{sx-ty}{2}-rz)=s^2f(x)+t^2f(y)+4r^2f(z)$$ for any fixed nonzero integers s, t, r with $r;{ eq};{pm}1$.