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Finding the Fourth Proportional to 123,201.92, 169,979.84 and 75,405.44

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Solution

The fourth proportional to 123,201.92, 169,979.84 and 75,405.44 is: 104,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,201.92 : 169,979.84 = 75,405.44 : x
  2. Step 2: Convert to fraction form
    123,201.92/169,979.84 = 75,405.44/x
  3. Step 3: Cross multiply
    123,201.92x = 169,979.84 × 75,405.44
  4. Step 4: Simplify right side
    123,201.92x = 12,817,404,626.33
  5. Step 5: Solve for x
    x = 12,817,404,626.33/123,201.92
  6. Step 6: Final answer
    x = 104,035.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.