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Finding the Fourth Proportional to 78.62, 116.92 and 76.46

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Solution

The fourth proportional to 78.62, 116.92 and 76.46 is: 113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.62 : 116.92 = 76.46 : x
  2. Step 2: Convert to fraction form
    78.62/116.92 = 76.46/x
  3. Step 3: Cross multiply
    78.62x = 116.92 × 76.46
  4. Step 4: Simplify right side
    78.62x = 8,939.70
  5. Step 5: Solve for x
    x = 8,939.70/78.62
  6. Step 6: Final answer
    x = 113.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.