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Finding the Fourth Proportional to 90,662, 135,997.86 and 28,337.36

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Solution

The fourth proportional to 90,662, 135,997.86 and 28,337.36 is: 42,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,662 : 135,997.86 = 28,337.36 : x
  2. Step 2: Convert to fraction form
    90,662/135,997.86 = 28,337.36/x
  3. Step 3: Cross multiply
    90,662x = 135,997.86 × 28,337.36
  4. Step 4: Simplify right side
    90,662x = 3,853,820,318.05
  5. Step 5: Solve for x
    x = 3,853,820,318.05/90,662
  6. Step 6: Final answer
    x = 42,507.56

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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.