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Finding the Fourth Proportional to 141.12, 211.44 and 76.86

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Solution

The fourth proportional to 141.12, 211.44 and 76.86 is: 115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.12 : 211.44 = 76.86 : x
  2. Step 2: Convert to fraction form
    141.12/211.44 = 76.86/x
  3. Step 3: Cross multiply
    141.12x = 211.44 × 76.86
  4. Step 4: Simplify right side
    141.12x = 16,251.28
  5. Step 5: Solve for x
    x = 16,251.28/141.12
  6. Step 6: Final answer
    x = 115.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.