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Finding the Fourth Proportional to 142.49, 196.56 and 95.86

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Solution

The fourth proportional to 142.49, 196.56 and 95.86 is: 132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.49 : 196.56 = 95.86 : x
  2. Step 2: Convert to fraction form
    142.49/196.56 = 95.86/x
  3. Step 3: Cross multiply
    142.49x = 196.56 × 95.86
  4. Step 4: Simplify right side
    142.49x = 18,842.24
  5. Step 5: Solve for x
    x = 18,842.24/142.49
  6. Step 6: Final answer
    x = 132.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.