Finding the Fourth Proportional to 78,126,339,838.28, 117,195,157,937.66 and 32,701,362,723.68
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Solution
The fourth proportional to 78,126,339,838.28, 117,195,157,937.66 and 32,701,362,723.68 is: 49,054,408,245.82
Step by Step Solution
- Step 1: Write the proportion equation
78,126,339,838.28 : 117,195,157,937.66 = 32,701,362,723.68 : x - Step 2: Convert to fraction form
78,126,339,838.28/117,195,157,937.66 = 32,701,362,723.68/x - Step 3: Cross multiply
78,126,339,838.28x = 117,195,157,937.66 × 32,701,362,723.68 - Step 4: Simplify right side
78,126,339,838.28x = 3,832,441,369,178,384,891,904 - Step 5: Solve for x
x = 3,832,441,369,178,384,891,904/78,126,339,838.28 - Step 6: Final answer
x = 49,054,408,245.82
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.