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Finding the Fourth Proportional to 141.10, 194.80 and 85.86

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Solution

The fourth proportional to 141.10, 194.80 and 85.86 is: 118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.10 : 194.80 = 85.86 : x
  2. Step 2: Convert to fraction form
    141.10/194.80 = 85.86/x
  3. Step 3: Cross multiply
    141.10x = 194.80 × 85.86
  4. Step 4: Simplify right side
    141.10x = 16,725.53
  5. Step 5: Solve for x
    x = 16,725.53/141.10
  6. Step 6: Final answer
    x = 118.54

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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.