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Finding the Fourth Proportional to 129,255.10, 193,909.92 and 65,249.71

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Solution

The fourth proportional to 129,255.10, 193,909.92 and 65,249.71 is: 97,888.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,255.10 : 193,909.92 = 65,249.71 : x
  2. Step 2: Convert to fraction form
    129,255.10/193,909.92 = 65,249.71/x
  3. Step 3: Cross multiply
    129,255.10x = 193,909.92 × 65,249.71
  4. Step 4: Simplify right side
    129,255.10x = 12,652,566,046.12
  5. Step 5: Solve for x
    x = 12,652,566,046.12/129,255.10
  6. Step 6: Final answer
    x = 97,888.33

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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.