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Finding the Fourth Proportional to 138,940.92, 208,461.60 and 54,654.55

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Solution

The fourth proportional to 138,940.92, 208,461.60 and 54,654.55 is: 82,001.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,940.92 : 208,461.60 = 54,654.55 : x
  2. Step 2: Convert to fraction form
    138,940.92/208,461.60 = 54,654.55/x
  3. Step 3: Cross multiply
    138,940.92x = 208,461.60 × 54,654.55
  4. Step 4: Simplify right side
    138,940.92x = 11,393,374,419.13
  5. Step 5: Solve for x
    x = 11,393,374,419.13/138,940.92
  6. Step 6: Final answer
    x = 82,001.58

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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.