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Finding the Fourth Proportional to 71.46, 107.25 and 41.07

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Solution

The fourth proportional to 71.46, 107.25 and 41.07 is: 61.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.46 : 107.25 = 41.07 : x
  2. Step 2: Convert to fraction form
    71.46/107.25 = 41.07/x
  3. Step 3: Cross multiply
    71.46x = 107.25 × 41.07
  4. Step 4: Simplify right side
    71.46x = 4,404.76
  5. Step 5: Solve for x
    x = 4,404.76/71.46
  6. Step 6: Final answer
    x = 61.64

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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.