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Finding the Fourth Proportional to 94.49, 142.27 and 83.15

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Solution

The fourth proportional to 94.49, 142.27 and 83.15 is: 125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.49 : 142.27 = 83.15 : x
  2. Step 2: Convert to fraction form
    94.49/142.27 = 83.15/x
  3. Step 3: Cross multiply
    94.49x = 142.27 × 83.15
  4. Step 4: Simplify right side
    94.49x = 11,829.33
  5. Step 5: Solve for x
    x = 11,829.33/94.49
  6. Step 6: Final answer
    x = 125.19

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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.