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Finding the Fourth Proportional to 71,972.69, 107,958.87 and 19,382.22

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Solution

The fourth proportional to 71,972.69, 107,958.87 and 19,382.22 is: 29,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,972.69 : 107,958.87 = 19,382.22 : x
  2. Step 2: Convert to fraction form
    71,972.69/107,958.87 = 19,382.22/x
  3. Step 3: Cross multiply
    71,972.69x = 107,958.87 × 19,382.22
  4. Step 4: Simplify right side
    71,972.69x = 2,092,482,569.29
  5. Step 5: Solve for x
    x = 2,092,482,569.29/71,972.69
  6. Step 6: Final answer
    x = 29,073.29

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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.