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Finding the Fourth Proportional to 141.88, 195.80 and 86.60

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Solution

The fourth proportional to 141.88, 195.80 and 86.60 is: 119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.88 : 195.80 = 86.60 : x
  2. Step 2: Convert to fraction form
    141.88/195.80 = 86.60/x
  3. Step 3: Cross multiply
    141.88x = 195.80 × 86.60
  4. Step 4: Simplify right side
    141.88x = 16,956.28
  5. Step 5: Solve for x
    x = 16,956.28/141.88
  6. Step 6: Final answer
    x = 119.51

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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.