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Finding the Fourth Proportional to 81,843.70, 112,957.80 and 51,645.54

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Solution

The fourth proportional to 81,843.70, 112,957.80 and 51,645.54 is: 71,279.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,843.70 : 112,957.80 = 51,645.54 : x
  2. Step 2: Convert to fraction form
    81,843.70/112,957.80 = 51,645.54/x
  3. Step 3: Cross multiply
    81,843.70x = 112,957.80 × 51,645.54
  4. Step 4: Simplify right side
    81,843.70x = 5,833,766,578.21
  5. Step 5: Solve for x
    x = 5,833,766,578.21/81,843.70
  6. Step 6: Final answer
    x = 71,279.36

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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.