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Finding the Fourth Proportional to 132.49, 198.36 and 78.13

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Solution

The fourth proportional to 132.49, 198.36 and 78.13 is: 116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.49 : 198.36 = 78.13 : x
  2. Step 2: Convert to fraction form
    132.49/198.36 = 78.13/x
  3. Step 3: Cross multiply
    132.49x = 198.36 × 78.13
  4. Step 4: Simplify right side
    132.49x = 15,497.87
  5. Step 5: Solve for x
    x = 15,497.87/132.49
  6. Step 6: Final answer
    x = 116.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.