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Finding the Fourth Proportional to 113.92, 170.06 and 110.11

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Solution

The fourth proportional to 113.92, 170.06 and 110.11 is: 164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.92 : 170.06 = 110.11 : x
  2. Step 2: Convert to fraction form
    113.92/170.06 = 110.11/x
  3. Step 3: Cross multiply
    113.92x = 170.06 × 110.11
  4. Step 4: Simplify right side
    113.92x = 18,725.31
  5. Step 5: Solve for x
    x = 18,725.31/113.92
  6. Step 6: Final answer
    x = 164.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.