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Finding the Fourth Proportional to 71,475.89, 107,179.17 and 21,546.68

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Solution

The fourth proportional to 71,475.89, 107,179.17 and 21,546.68 is: 32,309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,475.89 : 107,179.17 = 21,546.68 : x
  2. Step 2: Convert to fraction form
    71,475.89/107,179.17 = 21,546.68/x
  3. Step 3: Cross multiply
    71,475.89x = 107,179.17 × 21,546.68
  4. Step 4: Simplify right side
    71,475.89x = 2,309,355,278.66
  5. Step 5: Solve for x
    x = 2,309,355,278.66/71,475.89
  6. Step 6: Final answer
    x = 32,309.57

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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.