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Finding the Fourth Proportional to 94.46, 142.33 and 77.71

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Solution

The fourth proportional to 94.46, 142.33 and 77.71 is: 117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.46 : 142.33 = 77.71 : x
  2. Step 2: Convert to fraction form
    94.46/142.33 = 77.71/x
  3. Step 3: Cross multiply
    94.46x = 142.33 × 77.71
  4. Step 4: Simplify right side
    94.46x = 11,060.63
  5. Step 5: Solve for x
    x = 11,060.63/94.46
  6. Step 6: Final answer
    x = 117.10

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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.