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Finding the Fourth Proportional to 142.66, 196.89 and 83.66

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Solution

The fourth proportional to 142.66, 196.89 and 83.66 is: 115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.66 : 196.89 = 83.66 : x
  2. Step 2: Convert to fraction form
    142.66/196.89 = 83.66/x
  3. Step 3: Cross multiply
    142.66x = 196.89 × 83.66
  4. Step 4: Simplify right side
    142.66x = 16,470.52
  5. Step 5: Solve for x
    x = 16,470.52/142.66
  6. Step 6: Final answer
    x = 115.45

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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.