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Finding the Fourth Proportional to 138,591.34, 207,720.94 and 54,298.89

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Solution

The fourth proportional to 138,591.34, 207,720.94 and 54,298.89 is: 81,383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,591.34 : 207,720.94 = 54,298.89 : x
  2. Step 2: Convert to fraction form
    138,591.34/207,720.94 = 54,298.89/x
  3. Step 3: Cross multiply
    138,591.34x = 207,720.94 × 54,298.89
  4. Step 4: Simplify right side
    138,591.34x = 11,279,016,471.76
  5. Step 5: Solve for x
    x = 11,279,016,471.76/138,591.34
  6. Step 6: Final answer
    x = 81,383.27

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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.