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Finding the Fourth Proportional to 138,458.10, 207,658.80 and 38,593.20

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Solution

The fourth proportional to 138,458.10, 207,658.80 and 38,593.20 is: 57,881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,458.10 : 207,658.80 = 38,593.20 : x
  2. Step 2: Convert to fraction form
    138,458.10/207,658.80 = 38,593.20/x
  3. Step 3: Cross multiply
    138,458.10x = 207,658.80 × 38,593.20
  4. Step 4: Simplify right side
    138,458.10x = 8,014,217,600.16
  5. Step 5: Solve for x
    x = 8,014,217,600.16/138,458.10
  6. Step 6: Final answer
    x = 57,881.90

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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.