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Finding the Fourth Proportional to 112.99, 168.52 and 109.57

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Solution

The fourth proportional to 112.99, 168.52 and 109.57 is: 163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.99 : 168.52 = 109.57 : x
  2. Step 2: Convert to fraction form
    112.99/168.52 = 109.57/x
  3. Step 3: Cross multiply
    112.99x = 168.52 × 109.57
  4. Step 4: Simplify right side
    112.99x = 18,464.87
  5. Step 5: Solve for x
    x = 18,464.87/112.99
  6. Step 6: Final answer
    x = 163.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.