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Finding the Fourth Proportional to 83,615.76, 125,418.78 and 61,149.20

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Solution

The fourth proportional to 83,615.76, 125,418.78 and 61,149.20 is: 91,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,615.76 : 125,418.78 = 61,149.20 : x
  2. Step 2: Convert to fraction form
    83,615.76/125,418.78 = 61,149.20/x
  3. Step 3: Cross multiply
    83,615.76x = 125,418.78 × 61,149.20
  4. Step 4: Simplify right side
    83,615.76x = 7,669,257,434.88
  5. Step 5: Solve for x
    x = 7,669,257,434.88/83,615.76
  6. Step 6: Final answer
    x = 91,720.24

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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.