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Finding the Fourth Proportional to 138,648.62, 207,956.87 and 38,816.80

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Solution

The fourth proportional to 138,648.62, 207,956.87 and 38,816.80 is: 58,220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,648.62 : 207,956.87 = 38,816.80 : x
  2. Step 2: Convert to fraction form
    138,648.62/207,956.87 = 38,816.80/x
  3. Step 3: Cross multiply
    138,648.62x = 207,956.87 × 38,816.80
  4. Step 4: Simplify right side
    138,648.62x = 8,072,218,997.55
  5. Step 5: Solve for x
    x = 8,072,218,997.55/138,648.62
  6. Step 6: Final answer
    x = 58,220.69

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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.