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Finding the Fourth Proportional to 80,169.14, 120,244.50 and 21,009.48

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Solution

The fourth proportional to 80,169.14, 120,244.50 and 21,009.48 is: 31,511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,169.14 : 120,244.50 = 21,009.48 : x
  2. Step 2: Convert to fraction form
    80,169.14/120,244.50 = 21,009.48/x
  3. Step 3: Cross multiply
    80,169.14x = 120,244.50 × 21,009.48
  4. Step 4: Simplify right side
    80,169.14x = 2,526,273,966.94
  5. Step 5: Solve for x
    x = 2,526,273,966.94/80,169.14
  6. Step 6: Final answer
    x = 31,511.80

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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.