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Finding the Fourth Proportional to 96,891.60, 145,249.48 and 86,394

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Solution

The fourth proportional to 96,891.60, 145,249.48 and 86,394 is: 129,512.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,891.60 : 145,249.48 = 86,394 : x
  2. Step 2: Convert to fraction form
    96,891.60/145,249.48 = 86,394/x
  3. Step 3: Cross multiply
    96,891.60x = 145,249.48 × 86,394
  4. Step 4: Simplify right side
    96,891.60x = 12,548,683,575.12
  5. Step 5: Solve for x
    x = 12,548,683,575.12/96,891.60
  6. Step 6: Final answer
    x = 129,512.61

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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.