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Finding the Fourth Proportional to 72,282.62, 108,422.82 and 19,691.96

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Solution

The fourth proportional to 72,282.62, 108,422.82 and 19,691.96 is: 29,537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,282.62 : 108,422.82 = 19,691.96 : x
  2. Step 2: Convert to fraction form
    72,282.62/108,422.82 = 19,691.96/x
  3. Step 3: Cross multiply
    72,282.62x = 108,422.82 × 19,691.96
  4. Step 4: Simplify right side
    72,282.62x = 2,135,057,292.41
  5. Step 5: Solve for x
    x = 2,135,057,292.41/72,282.62
  6. Step 6: Final answer
    x = 29,537.63

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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.