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Finding the Fourth Proportional to 192,704.80, 288,668.40 and 133,607.20

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Solution

The fourth proportional to 192,704.80, 288,668.40 and 133,607.20 is: 200,141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,704.80 : 288,668.40 = 133,607.20 : x
  2. Step 2: Convert to fraction form
    192,704.80/288,668.40 = 133,607.20/x
  3. Step 3: Cross multiply
    192,704.80x = 288,668.40 × 133,607.20
  4. Step 4: Simplify right side
    192,704.80x = 38,568,176,652.48
  5. Step 5: Solve for x
    x = 38,568,176,652.48/192,704.80
  6. Step 6: Final answer
    x = 200,141.23

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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.