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Finding the Fourth Proportional to 142.70, 196.88 and 80.53

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Solution

The fourth proportional to 142.70, 196.88 and 80.53 is: 111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.70 : 196.88 = 80.53 : x
  2. Step 2: Convert to fraction form
    142.70/196.88 = 80.53/x
  3. Step 3: Cross multiply
    142.70x = 196.88 × 80.53
  4. Step 4: Simplify right side
    142.70x = 15,854.46
  5. Step 5: Solve for x
    x = 15,854.46/142.70
  6. Step 6: Final answer
    x = 111.10

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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.