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Finding the Fourth Proportional to 81,757.22, 122,579.24 and 41,698.48

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Solution

The fourth proportional to 81,757.22, 122,579.24 and 41,698.48 is: 62,518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,757.22 : 122,579.24 = 41,698.48 : x
  2. Step 2: Convert to fraction form
    81,757.22/122,579.24 = 41,698.48/x
  3. Step 3: Cross multiply
    81,757.22x = 122,579.24 × 41,698.48
  4. Step 4: Simplify right side
    81,757.22x = 5,111,367,987.56
  5. Step 5: Solve for x
    x = 5,111,367,987.56/81,757.22
  6. Step 6: Final answer
    x = 62,518.86

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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.