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Finding the Fourth Proportional to 73,084.88, 109,630.56 and 20,493.20

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Solution

The fourth proportional to 73,084.88, 109,630.56 and 20,493.20 is: 30,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,084.88 : 109,630.56 = 20,493.20 : x
  2. Step 2: Convert to fraction form
    73,084.88/109,630.56 = 20,493.20/x
  3. Step 3: Cross multiply
    73,084.88x = 109,630.56 × 20,493.20
  4. Step 4: Simplify right side
    73,084.88x = 2,246,681,343.12
  5. Step 5: Solve for x
    x = 2,246,681,343.12/73,084.88
  6. Step 6: Final answer
    x = 30,740.71

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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.