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Finding the Fourth Proportional to 78,640.34, 117,843.83 and 57,761.78

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Solution

The fourth proportional to 78,640.34, 117,843.83 and 57,761.78 is: 86,556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,640.34 : 117,843.83 = 57,761.78 : x
  2. Step 2: Convert to fraction form
    78,640.34/117,843.83 = 57,761.78/x
  3. Step 3: Cross multiply
    78,640.34x = 117,843.83 × 57,761.78
  4. Step 4: Simplify right side
    78,640.34x = 6,806,869,382.82
  5. Step 5: Solve for x
    x = 6,806,869,382.82/78,640.34
  6. Step 6: Final answer
    x = 86,556.97

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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.