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Finding the Fourth Proportional to 50,481.92, 75,724.10 and 20,891.81

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Solution

The fourth proportional to 50,481.92, 75,724.10 and 20,891.81 is: 31,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,481.92 : 75,724.10 = 20,891.81 : x
  2. Step 2: Convert to fraction form
    50,481.92/75,724.10 = 20,891.81/x
  3. Step 3: Cross multiply
    50,481.92x = 75,724.10 × 20,891.81
  4. Step 4: Simplify right side
    50,481.92x = 1,582,013,026.54
  5. Step 5: Solve for x
    x = 1,582,013,026.54/50,481.92
  6. Step 6: Final answer
    x = 31,338.21

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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.