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Finding the Fourth Proportional to 67,199.94, 100,814.49 and 20,451.60

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Solution

The fourth proportional to 67,199.94, 100,814.49 and 20,451.60 is: 30,681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,199.94 : 100,814.49 = 20,451.60 : x
  2. Step 2: Convert to fraction form
    67,199.94/100,814.49 = 20,451.60/x
  3. Step 3: Cross multiply
    67,199.94x = 100,814.49 × 20,451.60
  4. Step 4: Simplify right side
    67,199.94x = 2,061,817,623.68
  5. Step 5: Solve for x
    x = 2,061,817,623.68/67,199.94
  6. Step 6: Final answer
    x = 30,681.84

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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.