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Finding the Fourth Proportional to 81,743.32, 122,614.84 and 22,578.84

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Solution

The fourth proportional to 81,743.32, 122,614.84 and 22,578.84 is: 33,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,743.32 : 122,614.84 = 22,578.84 : x
  2. Step 2: Convert to fraction form
    81,743.32/122,614.84 = 22,578.84/x
  3. Step 3: Cross multiply
    81,743.32x = 122,614.84 × 22,578.84
  4. Step 4: Simplify right side
    81,743.32x = 2,768,500,853.99
  5. Step 5: Solve for x
    x = 2,768,500,853.99/81,743.32
  6. Step 6: Final answer
    x = 33,868.22

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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.