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Finding the Fourth Proportional to 138,092.42, 207,143.22 and 38,253.62

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Solution

The fourth proportional to 138,092.42, 207,143.22 and 38,253.62 is: 57,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,092.42 : 207,143.22 = 38,253.62 : x
  2. Step 2: Convert to fraction form
    138,092.42/207,143.22 = 38,253.62/x
  3. Step 3: Cross multiply
    138,092.42x = 207,143.22 × 38,253.62
  4. Step 4: Simplify right side
    138,092.42x = 7,923,978,023.46
  5. Step 5: Solve for x
    x = 7,923,978,023.46/138,092.42
  6. Step 6: Final answer
    x = 57,381.70

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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.