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Finding the Fourth Proportional to 112.47, 153.26 and 109.97

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Solution

The fourth proportional to 112.47, 153.26 and 109.97 is: 149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.47 : 153.26 = 109.97 : x
  2. Step 2: Convert to fraction form
    112.47/153.26 = 109.97/x
  3. Step 3: Cross multiply
    112.47x = 153.26 × 109.97
  4. Step 4: Simplify right side
    112.47x = 16,854.54
  5. Step 5: Solve for x
    x = 16,854.54/112.47
  6. Step 6: Final answer
    x = 149.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.