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Finding the Fourth Proportional to 94.11, 129.78 and 81.81

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Solution

The fourth proportional to 94.11, 129.78 and 81.81 is: 112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.11 : 129.78 = 81.81 : x
  2. Step 2: Convert to fraction form
    94.11/129.78 = 81.81/x
  3. Step 3: Cross multiply
    94.11x = 129.78 × 81.81
  4. Step 4: Simplify right side
    94.11x = 10,617.30
  5. Step 5: Solve for x
    x = 10,617.30/94.11
  6. Step 6: Final answer
    x = 112.82

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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.