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Finding the Fourth Proportional to 142.31, 196.41 and 84.09

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Solution

The fourth proportional to 142.31, 196.41 and 84.09 is: 116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.31 : 196.41 = 84.09 : x
  2. Step 2: Convert to fraction form
    142.31/196.41 = 84.09/x
  3. Step 3: Cross multiply
    142.31x = 196.41 × 84.09
  4. Step 4: Simplify right side
    142.31x = 16,517.17
  5. Step 5: Solve for x
    x = 16,517.17/142.31
  6. Step 6: Final answer
    x = 116.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.