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Finding the Fourth Proportional to 116.43, 173.96 and 112.39

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Solution

The fourth proportional to 116.43, 173.96 and 112.39 is: 167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.43 : 173.96 = 112.39 : x
  2. Step 2: Convert to fraction form
    116.43/173.96 = 112.39/x
  3. Step 3: Cross multiply
    116.43x = 173.96 × 112.39
  4. Step 4: Simplify right side
    116.43x = 19,551.44
  5. Step 5: Solve for x
    x = 19,551.44/116.43
  6. Step 6: Final answer
    x = 167.93

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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.