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Finding the Fourth Proportional to 90,761.50, 136,164.12 and 28,432

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Solution

The fourth proportional to 90,761.50, 136,164.12 and 28,432 is: 42,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,761.50 : 136,164.12 = 28,432 : x
  2. Step 2: Convert to fraction form
    90,761.50/136,164.12 = 28,432/x
  3. Step 3: Cross multiply
    90,761.50x = 136,164.12 × 28,432
  4. Step 4: Simplify right side
    90,761.50x = 3,871,418,259.84
  5. Step 5: Solve for x
    x = 3,871,418,259.84/90,761.50
  6. Step 6: Final answer
    x = 42,654.85

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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.