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Finding the Fourth Proportional to 71.64, 107.89 and 53.73

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Solution

The fourth proportional to 71.64, 107.89 and 53.73 is: 80.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.64 : 107.89 = 53.73 : x
  2. Step 2: Convert to fraction form
    71.64/107.89 = 53.73/x
  3. Step 3: Cross multiply
    71.64x = 107.89 × 53.73
  4. Step 4: Simplify right side
    71.64x = 5,796.80
  5. Step 5: Solve for x
    x = 5,796.80/71.64
  6. Step 6: Final answer
    x = 80.92

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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.