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Finding the Fourth Proportional to 71,819.46, 107,729.19 and 19,227.60

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Solution

The fourth proportional to 71,819.46, 107,729.19 and 19,227.60 is: 28,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,819.46 : 107,729.19 = 19,227.60 : x
  2. Step 2: Convert to fraction form
    71,819.46/107,729.19 = 19,227.60/x
  3. Step 3: Cross multiply
    71,819.46x = 107,729.19 × 19,227.60
  4. Step 4: Simplify right side
    71,819.46x = 2,071,373,773.64
  5. Step 5: Solve for x
    x = 2,071,373,773.64/71,819.46
  6. Step 6: Final answer
    x = 28,841.40

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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.