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Finding the Fourth Proportional to 107.27, 161.46 and 81.90

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Solution

The fourth proportional to 107.27, 161.46 and 81.90 is: 123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.27 : 161.46 = 81.90 : x
  2. Step 2: Convert to fraction form
    107.27/161.46 = 81.90/x
  3. Step 3: Cross multiply
    107.27x = 161.46 × 81.90
  4. Step 4: Simplify right side
    107.27x = 13,223.57
  5. Step 5: Solve for x
    x = 13,223.57/107.27
  6. Step 6: Final answer
    x = 123.28

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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.