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Finding the Fourth Proportional to 257,516.96, 386,205.17 and 107,732.97

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Solution

The fourth proportional to 257,516.96, 386,205.17 and 107,732.97 is: 161,570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,516.96 : 386,205.17 = 107,732.97 : x
  2. Step 2: Convert to fraction form
    257,516.96/386,205.17 = 107,732.97/x
  3. Step 3: Cross multiply
    257,516.96x = 386,205.17 × 107,732.97
  4. Step 4: Simplify right side
    257,516.96x = 41,607,029,454.79
  5. Step 5: Solve for x
    x = 41,607,029,454.79/257,516.96
  6. Step 6: Final answer
    x = 161,570.06

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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.