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Finding the Fourth Proportional to 90,049.73, 135,074.66 and 23,489.78

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Solution

The fourth proportional to 90,049.73, 135,074.66 and 23,489.78 is: 35,234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,049.73 : 135,074.66 = 23,489.78 : x
  2. Step 2: Convert to fraction form
    90,049.73/135,074.66 = 23,489.78/x
  3. Step 3: Cross multiply
    90,049.73x = 135,074.66 × 23,489.78
  4. Step 4: Simplify right side
    90,049.73x = 3,172,873,254.15
  5. Step 5: Solve for x
    x = 3,172,873,254.15/90,049.73
  6. Step 6: Final answer
    x = 35,234.68

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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.