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Finding the Fourth Proportional to 81,843.26, 122,764.34 and 21,053.43

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Solution

The fourth proportional to 81,843.26, 122,764.34 and 21,053.43 is: 31,580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,843.26 : 122,764.34 = 21,053.43 : x
  2. Step 2: Convert to fraction form
    81,843.26/122,764.34 = 21,053.43/x
  3. Step 3: Cross multiply
    81,843.26x = 122,764.34 × 21,053.43
  4. Step 4: Simplify right side
    81,843.26x = 2,584,610,333.42
  5. Step 5: Solve for x
    x = 2,584,610,333.42/81,843.26
  6. Step 6: Final answer
    x = 31,580.00

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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.