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Finding the Fourth Proportional to 100,382.73, 150,387.89 and 71,860.80

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Solution

The fourth proportional to 100,382.73, 150,387.89 and 71,860.80 is: 107,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,382.73 : 150,387.89 = 71,860.80 : x
  2. Step 2: Convert to fraction form
    100,382.73/150,387.89 = 71,860.80/x
  3. Step 3: Cross multiply
    100,382.73x = 150,387.89 × 71,860.80
  4. Step 4: Simplify right side
    100,382.73x = 10,806,994,694.58
  5. Step 5: Solve for x
    x = 10,806,994,694.58/100,382.73
  6. Step 6: Final answer
    x = 107,657.91

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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.