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Finding the Fourth Proportional to 94.12, 129.84 and 81.82

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Solution

The fourth proportional to 94.12, 129.84 and 81.82 is: 112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.12 : 129.84 = 81.82 : x
  2. Step 2: Convert to fraction form
    94.12/129.84 = 81.82/x
  3. Step 3: Cross multiply
    94.12x = 129.84 × 81.82
  4. Step 4: Simplify right side
    94.12x = 10,623.51
  5. Step 5: Solve for x
    x = 10,623.51/94.12
  6. Step 6: Final answer
    x = 112.87

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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.