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Finding the Fourth Proportional to 142.48, 196.14 and 122.68

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Solution

The fourth proportional to 142.48, 196.14 and 122.68 is: 168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.48 : 196.14 = 122.68 : x
  2. Step 2: Convert to fraction form
    142.48/196.14 = 122.68/x
  3. Step 3: Cross multiply
    142.48x = 196.14 × 122.68
  4. Step 4: Simplify right side
    142.48x = 24,062.46
  5. Step 5: Solve for x
    x = 24,062.46/142.48
  6. Step 6: Final answer
    x = 168.88

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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.