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Finding the Fourth Proportional to 142.62, 196.84 and 105.88

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Solution

The fourth proportional to 142.62, 196.84 and 105.88 is: 146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.62 : 196.84 = 105.88 : x
  2. Step 2: Convert to fraction form
    142.62/196.84 = 105.88/x
  3. Step 3: Cross multiply
    142.62x = 196.84 × 105.88
  4. Step 4: Simplify right side
    142.62x = 20,841.42
  5. Step 5: Solve for x
    x = 20,841.42/142.62
  6. Step 6: Final answer
    x = 146.13

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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.