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Finding the Fourth Proportional to 87,784, 131,676 and 22,120

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Solution

The fourth proportional to 87,784, 131,676 and 22,120 is: 33,180

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,784 : 131,676 = 22,120 : x
  2. Step 2: Convert to fraction form
    87,784/131,676 = 22,120/x
  3. Step 3: Cross multiply
    87,784x = 131,676 × 22,120
  4. Step 4: Simplify right side
    87,784x = 2,912,673,120
  5. Step 5: Solve for x
    x = 2,912,673,120/87,784
  6. Step 6: Final answer
    x = 33,180

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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.