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Finding the Fourth Proportional to 123.92, 171.94 and 122.84

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Solution

The fourth proportional to 123.92, 171.94 and 122.84 is: 170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.92 : 171.94 = 122.84 : x
  2. Step 2: Convert to fraction form
    123.92/171.94 = 122.84/x
  3. Step 3: Cross multiply
    123.92x = 171.94 × 122.84
  4. Step 4: Simplify right side
    123.92x = 21,121.11
  5. Step 5: Solve for x
    x = 21,121.11/123.92
  6. Step 6: Final answer
    x = 170.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.