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Finding the Fourth Proportional to 142.74, 196.96 and 83.72

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Solution

The fourth proportional to 142.74, 196.96 and 83.72 is: 115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.74 : 196.96 = 83.72 : x
  2. Step 2: Convert to fraction form
    142.74/196.96 = 83.72/x
  3. Step 3: Cross multiply
    142.74x = 196.96 × 83.72
  4. Step 4: Simplify right side
    142.74x = 16,489.70
  5. Step 5: Solve for x
    x = 16,489.70/142.74
  6. Step 6: Final answer
    x = 115.53

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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.