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Finding the Fourth Proportional to 83,429.88, 125,143.49 and 20,250.52

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Solution

The fourth proportional to 83,429.88, 125,143.49 and 20,250.52 is: 30,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,429.88 : 125,143.49 = 20,250.52 : x
  2. Step 2: Convert to fraction form
    83,429.88/125,143.49 = 20,250.52/x
  3. Step 3: Cross multiply
    83,429.88x = 125,143.49 × 20,250.52
  4. Step 4: Simplify right side
    83,429.88x = 2,534,220,747.11
  5. Step 5: Solve for x
    x = 2,534,220,747.11/83,429.88
  6. Step 6: Final answer
    x = 30,375.46

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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.