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Finding the Fourth Proportional to 117.55, 161.22 and 111.69

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Solution

The fourth proportional to 117.55, 161.22 and 111.69 is: 153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.55 : 161.22 = 111.69 : x
  2. Step 2: Convert to fraction form
    117.55/161.22 = 111.69/x
  3. Step 3: Cross multiply
    117.55x = 161.22 × 111.69
  4. Step 4: Simplify right side
    117.55x = 18,006.66
  5. Step 5: Solve for x
    x = 18,006.66/117.55
  6. Step 6: Final answer
    x = 153.18

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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.