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Finding the Fourth Proportional to 71.72, 107.46 and 53.74

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Solution

The fourth proportional to 71.72, 107.46 and 53.74 is: 80.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.72 : 107.46 = 53.74 : x
  2. Step 2: Convert to fraction form
    71.72/107.46 = 53.74/x
  3. Step 3: Cross multiply
    71.72x = 107.46 × 53.74
  4. Step 4: Simplify right side
    71.72x = 5,774.90
  5. Step 5: Solve for x
    x = 5,774.90/71.72
  6. Step 6: Final answer
    x = 80.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.