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Finding the Fourth Proportional to 112.85, 169.31 and 51.94

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Solution

The fourth proportional to 112.85, 169.31 and 51.94 is: 77.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.85 : 169.31 = 51.94 : x
  2. Step 2: Convert to fraction form
    112.85/169.31 = 51.94/x
  3. Step 3: Cross multiply
    112.85x = 169.31 × 51.94
  4. Step 4: Simplify right side
    112.85x = 8,793.83
  5. Step 5: Solve for x
    x = 8,793.83/112.85
  6. Step 6: Final answer
    x = 77.93

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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.