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Finding the Fourth Proportional to 87,284.52, 120,452.62 and 47,540.52

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Solution

The fourth proportional to 87,284.52, 120,452.62 and 47,540.52 is: 65,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,284.52 : 120,452.62 = 47,540.52 : x
  2. Step 2: Convert to fraction form
    87,284.52/120,452.62 = 47,540.52/x
  3. Step 3: Cross multiply
    87,284.52x = 120,452.62 × 47,540.52
  4. Step 4: Simplify right side
    87,284.52x = 5,726,380,190.16
  5. Step 5: Solve for x
    x = 5,726,380,190.16/87,284.52
  6. Step 6: Final answer
    x = 65,605.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.