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Finding the Fourth Proportional to 94.46, 142.31 and 85.78

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Solution

The fourth proportional to 94.46, 142.31 and 85.78 is: 129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.46 : 142.31 = 85.78 : x
  2. Step 2: Convert to fraction form
    94.46/142.31 = 85.78/x
  3. Step 3: Cross multiply
    94.46x = 142.31 × 85.78
  4. Step 4: Simplify right side
    94.46x = 12,207.35
  5. Step 5: Solve for x
    x = 12,207.35/94.46
  6. Step 6: Final answer
    x = 129.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.