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Finding the Fourth Proportional to 71,911.71, 107,872.56 and 21,987.97

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Solution

The fourth proportional to 71,911.71, 107,872.56 and 21,987.97 is: 32,983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,911.71 : 107,872.56 = 21,987.97 : x
  2. Step 2: Convert to fraction form
    71,911.71/107,872.56 = 21,987.97/x
  3. Step 3: Cross multiply
    71,911.71x = 107,872.56 × 21,987.97
  4. Step 4: Simplify right side
    71,911.71x = 2,371,898,343.42
  5. Step 5: Solve for x
    x = 2,371,898,343.42/71,911.71
  6. Step 6: Final answer
    x = 32,983.48

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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.