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Finding the Fourth Proportional to 138,458.58, 207,705 and 54,207.78

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Solution

The fourth proportional to 138,458.58, 207,705 and 54,207.78 is: 81,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,458.58 : 207,705 = 54,207.78 : x
  2. Step 2: Convert to fraction form
    138,458.58/207,705 = 54,207.78/x
  3. Step 3: Cross multiply
    138,458.58x = 207,705 × 54,207.78
  4. Step 4: Simplify right side
    138,458.58x = 11,259,226,944.90
  5. Step 5: Solve for x
    x = 11,259,226,944.90/138,458.58
  6. Step 6: Final answer
    x = 81,318.38

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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.