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Finding the Fourth Proportional to 81,808.49, 122,712.91 and 22,644.33

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Solution

The fourth proportional to 81,808.49, 122,712.91 and 22,644.33 is: 33,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,808.49 : 122,712.91 = 22,644.33 : x
  2. Step 2: Convert to fraction form
    81,808.49/122,712.91 = 22,644.33/x
  3. Step 3: Cross multiply
    81,808.49x = 122,712.91 × 22,644.33
  4. Step 4: Simplify right side
    81,808.49x = 2,778,752,243.44
  5. Step 5: Solve for x
    x = 2,778,752,243.44/81,808.49
  6. Step 6: Final answer
    x = 33,966.55

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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.