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Finding the Fourth Proportional to 142.13, 196.09 and 83.10

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Solution

The fourth proportional to 142.13, 196.09 and 83.10 is: 114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.13 : 196.09 = 83.10 : x
  2. Step 2: Convert to fraction form
    142.13/196.09 = 83.10/x
  3. Step 3: Cross multiply
    142.13x = 196.09 × 83.10
  4. Step 4: Simplify right side
    142.13x = 16,295.61
  5. Step 5: Solve for x
    x = 16,295.61/142.13
  6. Step 6: Final answer
    x = 114.65

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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.