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Finding the Fourth Proportional to 94.76, 142.25 and 83.42

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Solution

The fourth proportional to 94.76, 142.25 and 83.42 is: 125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.76 : 142.25 = 83.42 : x
  2. Step 2: Convert to fraction form
    94.76/142.25 = 83.42/x
  3. Step 3: Cross multiply
    94.76x = 142.25 × 83.42
  4. Step 4: Simplify right side
    94.76x = 11,866.43
  5. Step 5: Solve for x
    x = 11,866.43/94.76
  6. Step 6: Final answer
    x = 125.22

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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.