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Finding the Fourth Proportional to 71,382.87, 107,079.57 and 18,792

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Solution

The fourth proportional to 71,382.87, 107,079.57 and 18,792 is: 28,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,382.87 : 107,079.57 = 18,792 : x
  2. Step 2: Convert to fraction form
    71,382.87/107,079.57 = 18,792/x
  3. Step 3: Cross multiply
    71,382.87x = 107,079.57 × 18,792
  4. Step 4: Simplify right side
    71,382.87x = 2,012,239,279.44
  5. Step 5: Solve for x
    x = 2,012,239,279.44/71,382.87
  6. Step 6: Final answer
    x = 28,189.39

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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.