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Finding the Fourth Proportional to 129,213.20, 193,819.80 and 40,493.90

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Solution

The fourth proportional to 129,213.20, 193,819.80 and 40,493.90 is: 60,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,213.20 : 193,819.80 = 40,493.90 : x
  2. Step 2: Convert to fraction form
    129,213.20/193,819.80 = 40,493.90/x
  3. Step 3: Cross multiply
    129,213.20x = 193,819.80 × 40,493.90
  4. Step 4: Simplify right side
    129,213.20x = 7,848,519,599.22
  5. Step 5: Solve for x
    x = 7,848,519,599.22/129,213.20
  6. Step 6: Final answer
    x = 60,740.85

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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.