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Finding the Fourth Proportional to 136,781.54, 188,790 and 80,211.14

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Solution

The fourth proportional to 136,781.54, 188,790 and 80,211.14 is: 110,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,781.54 : 188,790 = 80,211.14 : x
  2. Step 2: Convert to fraction form
    136,781.54/188,790 = 80,211.14/x
  3. Step 3: Cross multiply
    136,781.54x = 188,790 × 80,211.14
  4. Step 4: Simplify right side
    136,781.54x = 15,143,061,120.60
  5. Step 5: Solve for x
    x = 15,143,061,120.60/136,781.54
  6. Step 6: Final answer
    x = 110,709.83

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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.