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Finding the Fourth Proportional to 71,781.30, 107,655.48 and 21,167.28

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Solution

The fourth proportional to 71,781.30, 107,655.48 and 21,167.28 is: 31,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,781.30 : 107,655.48 = 21,167.28 : x
  2. Step 2: Convert to fraction form
    71,781.30/107,655.48 = 21,167.28/x
  3. Step 3: Cross multiply
    71,781.30x = 107,655.48 × 21,167.28
  4. Step 4: Simplify right side
    71,781.30x = 2,278,773,688.69
  5. Step 5: Solve for x
    x = 2,278,773,688.69/71,781.30
  6. Step 6: Final answer
    x = 31,746.06

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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.