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Finding the Fourth Proportional to 83,691.60, 125,537.40 and 31,090.20

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Solution

The fourth proportional to 83,691.60, 125,537.40 and 31,090.20 is: 46,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,691.60 : 125,537.40 = 31,090.20 : x
  2. Step 2: Convert to fraction form
    83,691.60/125,537.40 = 31,090.20/x
  3. Step 3: Cross multiply
    83,691.60x = 125,537.40 × 31,090.20
  4. Step 4: Simplify right side
    83,691.60x = 3,902,982,873.48
  5. Step 5: Solve for x
    x = 3,902,982,873.48/83,691.60
  6. Step 6: Final answer
    x = 46,635.30

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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.