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Finding the Fourth Proportional to 94.59, 142.11 and 81.63

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Solution

The fourth proportional to 94.59, 142.11 and 81.63 is: 122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.59 : 142.11 = 81.63 : x
  2. Step 2: Convert to fraction form
    94.59/142.11 = 81.63/x
  3. Step 3: Cross multiply
    94.59x = 142.11 × 81.63
  4. Step 4: Simplify right side
    94.59x = 11,600.44
  5. Step 5: Solve for x
    x = 11,600.44/94.59
  6. Step 6: Final answer
    x = 122.64

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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.