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Finding the Fourth Proportional to 136.26, 187.96 and 83.78

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Solution

The fourth proportional to 136.26, 187.96 and 83.78 is: 115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.26 : 187.96 = 83.78 : x
  2. Step 2: Convert to fraction form
    136.26/187.96 = 83.78/x
  3. Step 3: Cross multiply
    136.26x = 187.96 × 83.78
  4. Step 4: Simplify right side
    136.26x = 15,747.86
  5. Step 5: Solve for x
    x = 15,747.86/136.26
  6. Step 6: Final answer
    x = 115.57

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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.