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Finding the Fourth Proportional to 116.73, 173.85 and 109.23

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Solution

The fourth proportional to 116.73, 173.85 and 109.23 is: 162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.73 : 173.85 = 109.23 : x
  2. Step 2: Convert to fraction form
    116.73/173.85 = 109.23/x
  3. Step 3: Cross multiply
    116.73x = 173.85 × 109.23
  4. Step 4: Simplify right side
    116.73x = 18,989.64
  5. Step 5: Solve for x
    x = 18,989.64/116.73
  6. Step 6: Final answer
    x = 162.68

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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.