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Finding the Fourth Proportional to 83,605.44, 125,425.44 and 28,200

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Solution

The fourth proportional to 83,605.44, 125,425.44 and 28,200 is: 42,305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,605.44 : 125,425.44 = 28,200 : x
  2. Step 2: Convert to fraction form
    83,605.44/125,425.44 = 28,200/x
  3. Step 3: Cross multiply
    83,605.44x = 125,425.44 × 28,200
  4. Step 4: Simplify right side
    83,605.44x = 3,536,997,408
  5. Step 5: Solve for x
    x = 3,536,997,408/83,605.44
  6. Step 6: Final answer
    x = 42,305.83

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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.