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Finding the Fourth Proportional to 113.51, 170.87 and 81.24

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Solution

The fourth proportional to 113.51, 170.87 and 81.24 is: 122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.51 : 170.87 = 81.24 : x
  2. Step 2: Convert to fraction form
    113.51/170.87 = 81.24/x
  3. Step 3: Cross multiply
    113.51x = 170.87 × 81.24
  4. Step 4: Simplify right side
    113.51x = 13,881.90
  5. Step 5: Solve for x
    x = 13,881.90/113.51
  6. Step 6: Final answer
    x = 122.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.