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Finding the Fourth Proportional to 87,787, 131,680.50 and 22,123

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Solution

The fourth proportional to 87,787, 131,680.50 and 22,123 is: 33,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,787 : 131,680.50 = 22,123 : x
  2. Step 2: Convert to fraction form
    87,787/131,680.50 = 22,123/x
  3. Step 3: Cross multiply
    87,787x = 131,680.50 × 22,123
  4. Step 4: Simplify right side
    87,787x = 2,913,167,701.50
  5. Step 5: Solve for x
    x = 2,913,167,701.50/87,787
  6. Step 6: Final answer
    x = 33,184.50

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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.