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Finding the Fourth Proportional to 112.69, 169.07 and 51.86

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Solution

The fourth proportional to 112.69, 169.07 and 51.86 is: 77.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.69 : 169.07 = 51.86 : x
  2. Step 2: Convert to fraction form
    112.69/169.07 = 51.86/x
  3. Step 3: Cross multiply
    112.69x = 169.07 × 51.86
  4. Step 4: Simplify right side
    112.69x = 8,767.47
  5. Step 5: Solve for x
    x = 8,767.47/112.69
  6. Step 6: Final answer
    x = 77.80

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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.