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Finding the Fourth Proportional to 71,672.67, 107,509.34 and 21,753.20

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Solution

The fourth proportional to 71,672.67, 107,509.34 and 21,753.20 is: 32,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,672.67 : 107,509.34 = 21,753.20 : x
  2. Step 2: Convert to fraction form
    71,672.67/107,509.34 = 21,753.20/x
  3. Step 3: Cross multiply
    71,672.67x = 107,509.34 × 21,753.20
  4. Step 4: Simplify right side
    71,672.67x = 2,338,671,691.72
  5. Step 5: Solve for x
    x = 2,338,671,691.72/71,672.67
  6. Step 6: Final answer
    x = 32,629.90

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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.