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Finding the Fourth Proportional to 257,487.96, 386,156.34 and 99,678.72

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Solution

The fourth proportional to 257,487.96, 386,156.34 and 99,678.72 is: 149,488.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,487.96 : 386,156.34 = 99,678.72 : x
  2. Step 2: Convert to fraction form
    257,487.96/386,156.34 = 99,678.72/x
  3. Step 3: Cross multiply
    257,487.96x = 386,156.34 × 99,678.72
  4. Step 4: Simplify right side
    257,487.96x = 38,491,569,691.08
  5. Step 5: Solve for x
    x = 38,491,569,691.08/257,487.96
  6. Step 6: Final answer
    x = 149,488.81

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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.