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Finding the Fourth Proportional to 208,951.40, 313,212.62 and 82,540.46

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Solution

The fourth proportional to 208,951.40, 313,212.62 and 82,540.46 is: 123,725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,951.40 : 313,212.62 = 82,540.46 : x
  2. Step 2: Convert to fraction form
    208,951.40/313,212.62 = 82,540.46/x
  3. Step 3: Cross multiply
    208,951.40x = 313,212.62 × 82,540.46
  4. Step 4: Simplify right side
    208,951.40x = 25,852,713,732.61
  5. Step 5: Solve for x
    x = 25,852,713,732.61/208,951.40
  6. Step 6: Final answer
    x = 123,725.97

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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.