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Finding the Fourth Proportional to 137,581.80, 206,372.70 and 90,342.60

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Solution

The fourth proportional to 137,581.80, 206,372.70 and 90,342.60 is: 135,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,581.80 : 206,372.70 = 90,342.60 : x
  2. Step 2: Convert to fraction form
    137,581.80/206,372.70 = 90,342.60/x
  3. Step 3: Cross multiply
    137,581.80x = 206,372.70 × 90,342.60
  4. Step 4: Simplify right side
    137,581.80x = 18,644,246,287.02
  5. Step 5: Solve for x
    x = 18,644,246,287.02/137,581.80
  6. Step 6: Final answer
    x = 135,513.90

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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.