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Finding the Fourth Proportional to 138,481.92, 207,690.72 and 54,243.84

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Solution

The fourth proportional to 138,481.92, 207,690.72 and 54,243.84 is: 81,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,481.92 : 207,690.72 = 54,243.84 : x
  2. Step 2: Convert to fraction form
    138,481.92/207,690.72 = 54,243.84/x
  3. Step 3: Cross multiply
    138,481.92x = 207,690.72 × 54,243.84
  4. Step 4: Simplify right side
    138,481.92x = 11,265,942,185.16
  5. Step 5: Solve for x
    x = 11,265,942,185.16/138,481.92
  6. Step 6: Final answer
    x = 81,353.16

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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.