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Finding the Fourth Proportional to 116.47, 173.55 and 112.06

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Solution

The fourth proportional to 116.47, 173.55 and 112.06 is: 166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.47 : 173.55 = 112.06 : x
  2. Step 2: Convert to fraction form
    116.47/173.55 = 112.06/x
  3. Step 3: Cross multiply
    116.47x = 173.55 × 112.06
  4. Step 4: Simplify right side
    116.47x = 19,446.71
  5. Step 5: Solve for x
    x = 19,446.71/116.47
  6. Step 6: Final answer
    x = 166.97

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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.