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Finding the Fourth Proportional to 205,895.72, 308,744.94 and 100,591.40

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Solution

The fourth proportional to 205,895.72, 308,744.94 and 100,591.40 is: 150,838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,895.72 : 308,744.94 = 100,591.40 : x
  2. Step 2: Convert to fraction form
    205,895.72/308,744.94 = 100,591.40/x
  3. Step 3: Cross multiply
    205,895.72x = 308,744.94 × 100,591.40
  4. Step 4: Simplify right side
    205,895.72x = 31,057,085,757.52
  5. Step 5: Solve for x
    x = 31,057,085,757.52/205,895.72
  6. Step 6: Final answer
    x = 150,838.91

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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.