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Finding the Fourth Proportional to 94.38, 141.72 and 81

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Solution

The fourth proportional to 94.38, 141.72 and 81 is: 121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.38 : 141.72 = 81 : x
  2. Step 2: Convert to fraction form
    94.38/141.72 = 81/x
  3. Step 3: Cross multiply
    94.38x = 141.72 × 81
  4. Step 4: Simplify right side
    94.38x = 11,479.32
  5. Step 5: Solve for x
    x = 11,479.32/94.38
  6. Step 6: Final answer
    x = 121.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.