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Finding the Fourth Proportional to 136.44, 187.92 and 122.58

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Solution

The fourth proportional to 136.44, 187.92 and 122.58 is: 168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.44 : 187.92 = 122.58 : x
  2. Step 2: Convert to fraction form
    136.44/187.92 = 122.58/x
  3. Step 3: Cross multiply
    136.44x = 187.92 × 122.58
  4. Step 4: Simplify right side
    136.44x = 23,035.23
  5. Step 5: Solve for x
    x = 23,035.23/136.44
  6. Step 6: Final answer
    x = 168.83

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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.