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Finding the Fourth Proportional to 133,026.80, 199,540.20 and 80,409.20

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Solution

The fourth proportional to 133,026.80, 199,540.20 and 80,409.20 is: 120,613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,026.80 : 199,540.20 = 80,409.20 : x
  2. Step 2: Convert to fraction form
    133,026.80/199,540.20 = 80,409.20/x
  3. Step 3: Cross multiply
    133,026.80x = 199,540.20 × 80,409.20
  4. Step 4: Simplify right side
    133,026.80x = 16,044,867,849.84
  5. Step 5: Solve for x
    x = 16,044,867,849.84/133,026.80
  6. Step 6: Final answer
    x = 120,613.80

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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.