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Finding the Fourth Proportional to 208,781.72, 313,755.78 and 195,338.96

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Solution

The fourth proportional to 208,781.72, 313,755.78 and 195,338.96 is: 293,554.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,781.72 : 313,755.78 = 195,338.96 : x
  2. Step 2: Convert to fraction form
    208,781.72/313,755.78 = 195,338.96/x
  3. Step 3: Cross multiply
    208,781.72x = 313,755.78 × 195,338.96
  4. Step 4: Simplify right side
    208,781.72x = 61,288,728,099.52
  5. Step 5: Solve for x
    x = 61,288,728,099.52/208,781.72
  6. Step 6: Final answer
    x = 293,554.09

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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.