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Finding the Fourth Proportional to 94.41, 142.39 and 83.13

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Solution

The fourth proportional to 94.41, 142.39 and 83.13 is: 125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.41 : 142.39 = 83.13 : x
  2. Step 2: Convert to fraction form
    94.41/142.39 = 83.13/x
  3. Step 3: Cross multiply
    94.41x = 142.39 × 83.13
  4. Step 4: Simplify right side
    94.41x = 11,837.44
  5. Step 5: Solve for x
    x = 11,837.44/94.41
  6. Step 6: Final answer
    x = 125.39

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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.