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Finding the Fourth Proportional to 202,843.20, 304,351.20 and 128,020.80

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Solution

The fourth proportional to 202,843.20, 304,351.20 and 128,020.80 is: 192,085.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,843.20 : 304,351.20 = 128,020.80 : x
  2. Step 2: Convert to fraction form
    202,843.20/304,351.20 = 128,020.80/x
  3. Step 3: Cross multiply
    202,843.20x = 304,351.20 × 128,020.80
  4. Step 4: Simplify right side
    202,843.20x = 38,963,284,104.96
  5. Step 5: Solve for x
    x = 38,963,284,104.96/202,843.20
  6. Step 6: Final answer
    x = 192,085.73

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1.5x scale

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.