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Finding the Fourth Proportional to 208,989.90, 313,270.38 and 82,578.96

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Solution

The fourth proportional to 208,989.90, 313,270.38 and 82,578.96 is: 123,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,989.90 : 313,270.38 = 82,578.96 : x
  2. Step 2: Convert to fraction form
    208,989.90/313,270.38 = 82,578.96/x
  3. Step 3: Cross multiply
    208,989.90x = 313,270.38 × 82,578.96
  4. Step 4: Simplify right side
    208,989.90x = 25,869,542,179.20
  5. Step 5: Solve for x
    x = 25,869,542,179.20/208,989.90
  6. Step 6: Final answer
    x = 123,783.70

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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.