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Finding the Fourth Proportional to 117.07, 161.85 and 111.97

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Solution

The fourth proportional to 117.07, 161.85 and 111.97 is: 154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.07 : 161.85 = 111.97 : x
  2. Step 2: Convert to fraction form
    117.07/161.85 = 111.97/x
  3. Step 3: Cross multiply
    117.07x = 161.85 × 111.97
  4. Step 4: Simplify right side
    117.07x = 18,122.34
  5. Step 5: Solve for x
    x = 18,122.34/117.07
  6. Step 6: Final answer
    x = 154.80

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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.