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Finding the Fourth Proportional to 112.83, 169.18 and 51.89

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Solution

The fourth proportional to 112.83, 169.18 and 51.89 is: 77.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.83 : 169.18 = 51.89 : x
  2. Step 2: Convert to fraction form
    112.83/169.18 = 51.89/x
  3. Step 3: Cross multiply
    112.83x = 169.18 × 51.89
  4. Step 4: Simplify right side
    112.83x = 8,778.75
  5. Step 5: Solve for x
    x = 8,778.75/112.83
  6. Step 6: Final answer
    x = 77.81

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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.