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Finding the Fourth Proportional to 67,194.80, 100,806.77 and 20,446.46

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Solution

The fourth proportional to 67,194.80, 100,806.77 and 20,446.46 is: 30,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,194.80 : 100,806.77 = 20,446.46 : x
  2. Step 2: Convert to fraction form
    67,194.80/100,806.77 = 20,446.46/x
  3. Step 3: Cross multiply
    67,194.80x = 100,806.77 × 20,446.46
  4. Step 4: Simplify right side
    67,194.80x = 2,061,141,137.62
  5. Step 5: Solve for x
    x = 2,061,141,137.62/67,194.80
  6. Step 6: Final answer
    x = 30,674.12

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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.