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Finding the Fourth Proportional to 256,081.20, 384,121.80 and 137,983.20

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Solution

The fourth proportional to 256,081.20, 384,121.80 and 137,983.20 is: 206,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,081.20 : 384,121.80 = 137,983.20 : x
  2. Step 2: Convert to fraction form
    256,081.20/384,121.80 = 137,983.20/x
  3. Step 3: Cross multiply
    256,081.20x = 384,121.80 × 137,983.20
  4. Step 4: Simplify right side
    256,081.20x = 53,002,355,153.76
  5. Step 5: Solve for x
    x = 53,002,355,153.76/256,081.20
  6. Step 6: Final answer
    x = 206,974.80

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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.