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Finding the Fourth Proportional to 71,205.26, 98,251.68 and 39,368

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Solution

The fourth proportional to 71,205.26, 98,251.68 and 39,368 is: 54,321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,205.26 : 98,251.68 = 39,368 : x
  2. Step 2: Convert to fraction form
    71,205.26/98,251.68 = 39,368/x
  3. Step 3: Cross multiply
    71,205.26x = 98,251.68 × 39,368
  4. Step 4: Simplify right side
    71,205.26x = 3,867,972,138.24
  5. Step 5: Solve for x
    x = 3,867,972,138.24/71,205.26
  6. Step 6: Final answer
    x = 54,321.44

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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.