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Finding the Fourth Proportional to 208,843.70, 313,046.85 and 82,435.10

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Solution

The fourth proportional to 208,843.70, 313,046.85 and 82,435.10 is: 123,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,843.70 : 313,046.85 = 82,435.10 : x
  2. Step 2: Convert to fraction form
    208,843.70/313,046.85 = 82,435.10/x
  3. Step 3: Cross multiply
    208,843.70x = 313,046.85 × 82,435.10
  4. Step 4: Simplify right side
    208,843.70x = 25,806,048,384.44
  5. Step 5: Solve for x
    x = 25,806,048,384.44/208,843.70
  6. Step 6: Final answer
    x = 123,566.32

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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.