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Finding the Fourth Proportional to 33,111.20, 49,537.20 and 21,447.20

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Solution

The fourth proportional to 33,111.20, 49,537.20 and 21,447.20 is: 32,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,111.20 : 49,537.20 = 21,447.20 : x
  2. Step 2: Convert to fraction form
    33,111.20/49,537.20 = 21,447.20/x
  3. Step 3: Cross multiply
    33,111.20x = 49,537.20 × 21,447.20
  4. Step 4: Simplify right side
    33,111.20x = 1,062,434,235.84
  5. Step 5: Solve for x
    x = 1,062,434,235.84/33,111.20
  6. Step 6: Final answer
    x = 32,086.85

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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.