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Finding the Fourth Proportional to 138,045.41, 207,001.83 and 81,892.82

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Solution

The fourth proportional to 138,045.41, 207,001.83 and 81,892.82 is: 122,799.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,045.41 : 207,001.83 = 81,892.82 : x
  2. Step 2: Convert to fraction form
    138,045.41/207,001.83 = 81,892.82/x
  3. Step 3: Cross multiply
    138,045.41x = 207,001.83 × 81,892.82
  4. Step 4: Simplify right side
    138,045.41x = 16,951,963,967.82
  5. Step 5: Solve for x
    x = 16,951,963,967.82/138,045.41
  6. Step 6: Final answer
    x = 122,799.91

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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.