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Finding the Fourth Proportional to 81.16, 122.34 and 76.46

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Solution

The fourth proportional to 81.16, 122.34 and 76.46 is: 115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.16 : 122.34 = 76.46 : x
  2. Step 2: Convert to fraction form
    81.16/122.34 = 76.46/x
  3. Step 3: Cross multiply
    81.16x = 122.34 × 76.46
  4. Step 4: Simplify right side
    81.16x = 9,354.48
  5. Step 5: Solve for x
    x = 9,354.48/81.16
  6. Step 6: Final answer
    x = 115.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.