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Finding the Fourth Proportional to 128,243.80, 192,135.30 and 109,811.80

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Solution

The fourth proportional to 128,243.80, 192,135.30 and 109,811.80 is: 164,520.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,243.80 : 192,135.30 = 109,811.80 : x
  2. Step 2: Convert to fraction form
    128,243.80/192,135.30 = 109,811.80/x
  3. Step 3: Cross multiply
    128,243.80x = 192,135.30 × 109,811.80
  4. Step 4: Simplify right side
    128,243.80x = 21,098,723,136.54
  5. Step 5: Solve for x
    x = 21,098,723,136.54/128,243.80
  6. Step 6: Final answer
    x = 164,520.41

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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.