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Finding the Fourth Proportional to 141.58, 195.39 and 79.42

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Solution

The fourth proportional to 141.58, 195.39 and 79.42 is: 109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.58 : 195.39 = 79.42 : x
  2. Step 2: Convert to fraction form
    141.58/195.39 = 79.42/x
  3. Step 3: Cross multiply
    141.58x = 195.39 × 79.42
  4. Step 4: Simplify right side
    141.58x = 15,517.60
  5. Step 5: Solve for x
    x = 15,517.60/141.58
  6. Step 6: Final answer
    x = 109.60

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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.