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Finding the Fourth Proportional to 136,873.92, 205,143.12 and 77,759.36

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Solution

The fourth proportional to 136,873.92, 205,143.12 and 77,759.36 is: 116,543.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,873.92 : 205,143.12 = 77,759.36 : x
  2. Step 2: Convert to fraction form
    136,873.92/205,143.12 = 77,759.36/x
  3. Step 3: Cross multiply
    136,873.92x = 205,143.12 × 77,759.36
  4. Step 4: Simplify right side
    136,873.92x = 15,951,797,719.60
  5. Step 5: Solve for x
    x = 15,951,797,719.60/136,873.92
  6. Step 6: Final answer
    x = 116,543.73

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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.