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Finding the Fourth Proportional to 100,553.97, 138,764.22 and 55,231.83

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Solution

The fourth proportional to 100,553.97, 138,764.22 and 55,231.83 is: 76,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,553.97 : 138,764.22 = 55,231.83 : x
  2. Step 2: Convert to fraction form
    100,553.97/138,764.22 = 55,231.83/x
  3. Step 3: Cross multiply
    100,553.97x = 138,764.22 × 55,231.83
  4. Step 4: Simplify right side
    100,553.97x = 7,664,201,809.12
  5. Step 5: Solve for x
    x = 7,664,201,809.12/100,553.97
  6. Step 6: Final answer
    x = 76,219.78

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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.