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Finding the Fourth Proportional to 112.68, 168.93 and 57.09

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Solution

The fourth proportional to 112.68, 168.93 and 57.09 is: 85.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.68 : 168.93 = 57.09 : x
  2. Step 2: Convert to fraction form
    112.68/168.93 = 57.09/x
  3. Step 3: Cross multiply
    112.68x = 168.93 × 57.09
  4. Step 4: Simplify right side
    112.68x = 9,644.21
  5. Step 5: Solve for x
    x = 9,644.21/112.68
  6. Step 6: Final answer
    x = 85.59

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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.