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Finding the Fourth Proportional to 71.72, 107.14 and 63.48

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Solution

The fourth proportional to 71.72, 107.14 and 63.48 is: 94.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.72 : 107.14 = 63.48 : x
  2. Step 2: Convert to fraction form
    71.72/107.14 = 63.48/x
  3. Step 3: Cross multiply
    71.72x = 107.14 × 63.48
  4. Step 4: Simplify right side
    71.72x = 6,801.25
  5. Step 5: Solve for x
    x = 6,801.25/71.72
  6. Step 6: Final answer
    x = 94.83

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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.