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Finding the Fourth Proportional to 74,249.28, 111,351.84 and 21,642

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Solution

The fourth proportional to 74,249.28, 111,351.84 and 21,642 is: 32,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,249.28 : 111,351.84 = 21,642 : x
  2. Step 2: Convert to fraction form
    74,249.28/111,351.84 = 21,642/x
  3. Step 3: Cross multiply
    74,249.28x = 111,351.84 × 21,642
  4. Step 4: Simplify right side
    74,249.28x = 2,409,876,521.28
  5. Step 5: Solve for x
    x = 2,409,876,521.28/74,249.28
  6. Step 6: Final answer
    x = 32,456.56

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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.