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Finding the Fourth Proportional to 142.44, 196.07 and 122.83

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Solution

The fourth proportional to 142.44, 196.07 and 122.83 is: 169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.44 : 196.07 = 122.83 : x
  2. Step 2: Convert to fraction form
    142.44/196.07 = 122.83/x
  3. Step 3: Cross multiply
    142.44x = 196.07 × 122.83
  4. Step 4: Simplify right side
    142.44x = 24,083.97
  5. Step 5: Solve for x
    x = 24,083.97/142.44
  6. Step 6: Final answer
    x = 169.08

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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.