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Finding the Fourth Proportional to 138,613.60, 207,919.79 and 54,314.20

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Solution

The fourth proportional to 138,613.60, 207,919.79 and 54,314.20 is: 81,471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,613.60 : 207,919.79 = 54,314.20 : x
  2. Step 2: Convert to fraction form
    138,613.60/207,919.79 = 54,314.20/x
  3. Step 3: Cross multiply
    138,613.60x = 207,919.79 × 54,314.20
  4. Step 4: Simplify right side
    138,613.60x = 11,292,997,058.02
  5. Step 5: Solve for x
    x = 11,292,997,058.02/138,613.60
  6. Step 6: Final answer
    x = 81,471.06

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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.