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Finding the Fourth Proportional to 117.66, 161.98 and 111.89

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Solution

The fourth proportional to 117.66, 161.98 and 111.89 is: 154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.66 : 161.98 = 111.89 : x
  2. Step 2: Convert to fraction form
    117.66/161.98 = 111.89/x
  3. Step 3: Cross multiply
    117.66x = 161.98 × 111.89
  4. Step 4: Simplify right side
    117.66x = 18,122.57
  5. Step 5: Solve for x
    x = 18,122.57/117.66
  6. Step 6: Final answer
    x = 154.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.