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Finding the Fourth Proportional to 81.79, 112.94 and 77.24

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Solution

The fourth proportional to 81.79, 112.94 and 77.24 is: 106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.79 : 112.94 = 77.24 : x
  2. Step 2: Convert to fraction form
    81.79/112.94 = 77.24/x
  3. Step 3: Cross multiply
    81.79x = 112.94 × 77.24
  4. Step 4: Simplify right side
    81.79x = 8,723.49
  5. Step 5: Solve for x
    x = 8,723.49/81.79
  6. Step 6: Final answer
    x = 106.66

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Why These Related Problems?

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