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Finding the Fourth Proportional to 90,540.96, 135,614.88 and 55,374

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Solution

The fourth proportional to 90,540.96, 135,614.88 and 55,374 is: 82,940.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,540.96 : 135,614.88 = 55,374 : x
  2. Step 2: Convert to fraction form
    90,540.96/135,614.88 = 55,374/x
  3. Step 3: Cross multiply
    90,540.96x = 135,614.88 × 55,374
  4. Step 4: Simplify right side
    90,540.96x = 7,509,538,365.12
  5. Step 5: Solve for x
    x = 7,509,538,365.12/90,540.96
  6. Step 6: Final answer
    x = 82,940.79

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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.