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Finding the Fourth Proportional to 90,625.70, 135,938.55 and 82,169.30

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Solution

The fourth proportional to 90,625.70, 135,938.55 and 82,169.30 is: 123,253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,625.70 : 135,938.55 = 82,169.30 : x
  2. Step 2: Convert to fraction form
    90,625.70/135,938.55 = 82,169.30/x
  3. Step 3: Cross multiply
    90,625.70x = 135,938.55 × 82,169.30
  4. Step 4: Simplify right side
    90,625.70x = 11,169,975,496.52
  5. Step 5: Solve for x
    x = 11,169,975,496.52/90,625.70
  6. Step 6: Final answer
    x = 123,253.95

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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.