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Finding the Fourth Proportional to 71,473.75, 98,631.25 and 39,645.61

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Solution

The fourth proportional to 71,473.75, 98,631.25 and 39,645.61 is: 54,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,473.75 : 98,631.25 = 39,645.61 : x
  2. Step 2: Convert to fraction form
    71,473.75/98,631.25 = 39,645.61/x
  3. Step 3: Cross multiply
    71,473.75x = 98,631.25 × 39,645.61
  4. Step 4: Simplify right side
    71,473.75x = 3,910,295,725.62
  5. Step 5: Solve for x
    x = 3,910,295,725.62/71,473.75
  6. Step 6: Final answer
    x = 54,709.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.