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Finding the Fourth Proportional to 138,737.72, 208,098.05 and 85,439.86

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Solution

The fourth proportional to 138,737.72, 208,098.05 and 85,439.86 is: 128,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,737.72 : 208,098.05 = 85,439.86 : x
  2. Step 2: Convert to fraction form
    138,737.72/208,098.05 = 85,439.86/x
  3. Step 3: Cross multiply
    138,737.72x = 208,098.05 × 85,439.86
  4. Step 4: Simplify right side
    138,737.72x = 17,779,867,310.83
  5. Step 5: Solve for x
    x = 17,779,867,310.83/138,737.72
  6. Step 6: Final answer
    x = 128,154.53

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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.