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Finding the Fourth Proportional to 71,473.89, 107,176.17 and 21,544.68

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Solution

The fourth proportional to 71,473.89, 107,176.17 and 21,544.68 is: 32,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,473.89 : 107,176.17 = 21,544.68 : x
  2. Step 2: Convert to fraction form
    71,473.89/107,176.17 = 21,544.68/x
  3. Step 3: Cross multiply
    71,473.89x = 107,176.17 × 21,544.68
  4. Step 4: Simplify right side
    71,473.89x = 2,309,076,286.28
  5. Step 5: Solve for x
    x = 2,309,076,286.28/71,473.89
  6. Step 6: Final answer
    x = 32,306.57

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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.