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Finding the Fourth Proportional to 142.72, 196.80 and 113.76

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Solution

The fourth proportional to 142.72, 196.80 and 113.76 is: 156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.72 : 196.80 = 113.76 : x
  2. Step 2: Convert to fraction form
    142.72/196.80 = 113.76/x
  3. Step 3: Cross multiply
    142.72x = 196.80 × 113.76
  4. Step 4: Simplify right side
    142.72x = 22,387.97
  5. Step 5: Solve for x
    x = 22,387.97/142.72
  6. Step 6: Final answer
    x = 156.87

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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.