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Finding the Fourth Proportional to 90,021.32, 135,046.62 and 27,691.88

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Solution

The fourth proportional to 90,021.32, 135,046.62 and 27,691.88 is: 41,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,021.32 : 135,046.62 = 27,691.88 : x
  2. Step 2: Convert to fraction form
    90,021.32/135,046.62 = 27,691.88/x
  3. Step 3: Cross multiply
    90,021.32x = 135,046.62 × 27,691.88
  4. Step 4: Simplify right side
    90,021.32x = 3,739,694,795.45
  5. Step 5: Solve for x
    x = 3,739,694,795.45/90,021.32
  6. Step 6: Final answer
    x = 41,542.32

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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.