The equation of the parabola with vertex at $(0,0)$ and length of latus rectum equal to $\frac{16}{3}$ is:
- A$8x^{2} + 3y^{2} = 72$
- B$16y^{2} = 3x$
- C$3y^{2} = 16x$
- D$3x^{2} + 16y^{2} = 48$
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