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Finding the Fourth Proportional to 43,874.82, 65,821.96 and 20,488.50

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Solution

The fourth proportional to 43,874.82, 65,821.96 and 20,488.50 is: 30,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,874.82 : 65,821.96 = 20,488.50 : x
  2. Step 2: Convert to fraction form
    43,874.82/65,821.96 = 20,488.50/x
  3. Step 3: Cross multiply
    43,874.82x = 65,821.96 × 20,488.50
  4. Step 4: Simplify right side
    43,874.82x = 1,348,593,227.46
  5. Step 5: Solve for x
    x = 1,348,593,227.46/43,874.82
  6. Step 6: Final answer
    x = 30,737.29

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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.