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Finding the Fourth Proportional to 208,654.96, 287,917.44 and 123,755.44

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Solution

The fourth proportional to 208,654.96, 287,917.44 and 123,755.44 is: 170,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,654.96 : 287,917.44 = 123,755.44 : x
  2. Step 2: Convert to fraction form
    208,654.96/287,917.44 = 123,755.44/x
  3. Step 3: Cross multiply
    208,654.96x = 287,917.44 × 123,755.44
  4. Step 4: Simplify right side
    208,654.96x = 35,631,349,470.87
  5. Step 5: Solve for x
    x = 35,631,349,470.87/208,654.96
  6. Step 6: Final answer
    x = 170,766.85

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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.