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Finding the Fourth Proportional to 141.80, 195.80 and 122.60

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Solution

The fourth proportional to 141.80, 195.80 and 122.60 is: 169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.80 : 195.80 = 122.60 : x
  2. Step 2: Convert to fraction form
    141.80/195.80 = 122.60/x
  3. Step 3: Cross multiply
    141.80x = 195.80 × 122.60
  4. Step 4: Simplify right side
    141.80x = 24,005.08
  5. Step 5: Solve for x
    x = 24,005.08/141.80
  6. Step 6: Final answer
    x = 169.29

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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.