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Finding the Fourth Proportional to 138.96, 191.97 and 122.49

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Solution

The fourth proportional to 138.96, 191.97 and 122.49 is: 169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.96 : 191.97 = 122.49 : x
  2. Step 2: Convert to fraction form
    138.96/191.97 = 122.49/x
  3. Step 3: Cross multiply
    138.96x = 191.97 × 122.49
  4. Step 4: Simplify right side
    138.96x = 23,514.41
  5. Step 5: Solve for x
    x = 23,514.41/138.96
  6. Step 6: Final answer
    x = 169.22

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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.