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Finding the Fourth Proportional to 138,392.22, 207,654 and 82,343.10

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Solution

The fourth proportional to 138,392.22, 207,654 and 82,343.10 is: 123,553.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,392.22 : 207,654 = 82,343.10 : x
  2. Step 2: Convert to fraction form
    138,392.22/207,654 = 82,343.10/x
  3. Step 3: Cross multiply
    138,392.22x = 207,654 × 82,343.10
  4. Step 4: Simplify right side
    138,392.22x = 17,098,874,087.40
  5. Step 5: Solve for x
    x = 17,098,874,087.40/138,392.22
  6. Step 6: Final answer
    x = 123,553.72

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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.