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Finding the Fourth Proportional to 123.92, 184.42 and 119.92

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Solution

The fourth proportional to 123.92, 184.42 and 119.92 is: 178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.92 : 184.42 = 119.92 : x
  2. Step 2: Convert to fraction form
    123.92/184.42 = 119.92/x
  3. Step 3: Cross multiply
    123.92x = 184.42 × 119.92
  4. Step 4: Simplify right side
    123.92x = 22,115.65
  5. Step 5: Solve for x
    x = 22,115.65/123.92
  6. Step 6: Final answer
    x = 178.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.