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Finding the Fourth Proportional to 74,227.87, 111,348.25 and 20,920.20

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Solution

The fourth proportional to 74,227.87, 111,348.25 and 20,920.20 is: 31,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,227.87 : 111,348.25 = 20,920.20 : x
  2. Step 2: Convert to fraction form
    74,227.87/111,348.25 = 20,920.20/x
  3. Step 3: Cross multiply
    74,227.87x = 111,348.25 × 20,920.20
  4. Step 4: Simplify right side
    74,227.87x = 2,329,427,158.00
  5. Step 5: Solve for x
    x = 2,329,427,158.00/74,227.87
  6. Step 6: Final answer
    x = 31,382.11

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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.