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Finding the Fourth Proportional to 81,397.65, 122,138.11 and 38,751.27

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Solution

The fourth proportional to 81,397.65, 122,138.11 and 38,751.27 is: 58,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,397.65 : 122,138.11 = 38,751.27 : x
  2. Step 2: Convert to fraction form
    81,397.65/122,138.11 = 38,751.27/x
  3. Step 3: Cross multiply
    81,397.65x = 122,138.11 × 38,751.27
  4. Step 4: Simplify right side
    81,397.65x = 4,733,006,877.90
  5. Step 5: Solve for x
    x = 4,733,006,877.90/81,397.65
  6. Step 6: Final answer
    x = 58,146.73

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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.