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Finding the Fourth Proportional to 117.92, 161.90 and 116.22

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Solution

The fourth proportional to 117.92, 161.90 and 116.22 is: 159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.92 : 161.90 = 116.22 : x
  2. Step 2: Convert to fraction form
    117.92/161.90 = 116.22/x
  3. Step 3: Cross multiply
    117.92x = 161.90 × 116.22
  4. Step 4: Simplify right side
    117.92x = 18,816.02
  5. Step 5: Solve for x
    x = 18,816.02/117.92
  6. Step 6: Final answer
    x = 159.57

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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.