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Finding the Fourth Proportional to 142.23, 196.25 and 80.06

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Solution

The fourth proportional to 142.23, 196.25 and 80.06 is: 110.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.23 : 196.25 = 80.06 : x
  2. Step 2: Convert to fraction form
    142.23/196.25 = 80.06/x
  3. Step 3: Cross multiply
    142.23x = 196.25 × 80.06
  4. Step 4: Simplify right side
    142.23x = 15,711.78
  5. Step 5: Solve for x
    x = 15,711.78/142.23
  6. Step 6: Final answer
    x = 110.47

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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.