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Finding the Fourth Proportional to 117.73, 161.43 and 113.85

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Solution

The fourth proportional to 117.73, 161.43 and 113.85 is: 156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.73 : 161.43 = 113.85 : x
  2. Step 2: Convert to fraction form
    117.73/161.43 = 113.85/x
  3. Step 3: Cross multiply
    117.73x = 161.43 × 113.85
  4. Step 4: Simplify right side
    117.73x = 18,378.81
  5. Step 5: Solve for x
    x = 18,378.81/117.73
  6. Step 6: Final answer
    x = 156.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.