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Finding the Fourth Proportional to 71,972.44, 107,958.49 and 19,381.97

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Solution

The fourth proportional to 71,972.44, 107,958.49 and 19,381.97 is: 29,072.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,972.44 : 107,958.49 = 19,381.97 : x
  2. Step 2: Convert to fraction form
    71,972.44/107,958.49 = 19,381.97/x
  3. Step 3: Cross multiply
    71,972.44x = 107,958.49 × 19,381.97
  4. Step 4: Simplify right side
    71,972.44x = 2,092,448,214.43
  5. Step 5: Solve for x
    x = 2,092,448,214.43/71,972.44
  6. Step 6: Final answer
    x = 29,072.91

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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.