Finding the Fourth Proportional to 203,185,089.28, 280,418,684.05 and 113,901,148.14
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Solution
The fourth proportional to 203,185,089.28, 280,418,684.05 and 113,901,148.14 is: 157,196,623.96
Step by Step Solution
- Step 1: Write the proportion equation
203,185,089.28 : 280,418,684.05 = 113,901,148.14 : x - Step 2: Convert to fraction form
203,185,089.28/280,418,684.05 = 113,901,148.14/x - Step 3: Cross multiply
203,185,089.28x = 280,418,684.05 × 113,901,148.14 - Step 4: Simplify right side
203,185,089.28x = 31,940,010,073,202,908 - Step 5: Solve for x
x = 31,940,010,073,202,908/203,185,089.28 - Step 6: Final answer
x = 157,196,623.96
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.