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Finding the Fourth Proportional to 107.72, 160.87 and 81.88

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Solution

The fourth proportional to 107.72, 160.87 and 81.88 is: 122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.72 : 160.87 = 81.88 : x
  2. Step 2: Convert to fraction form
    107.72/160.87 = 81.88/x
  3. Step 3: Cross multiply
    107.72x = 160.87 × 81.88
  4. Step 4: Simplify right side
    107.72x = 13,172.04
  5. Step 5: Solve for x
    x = 13,172.04/107.72
  6. Step 6: Final answer
    x = 122.28

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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.