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Finding the Fourth Proportional to 206,816.20, 310,278.30 and 66,578.20

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Solution

The fourth proportional to 206,816.20, 310,278.30 and 66,578.20 is: 99,884.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,816.20 : 310,278.30 = 66,578.20 : x
  2. Step 2: Convert to fraction form
    206,816.20/310,278.30 = 66,578.20/x
  3. Step 3: Cross multiply
    206,816.20x = 310,278.30 × 66,578.20
  4. Step 4: Simplify right side
    206,816.20x = 20,657,770,713.06
  5. Step 5: Solve for x
    x = 20,657,770,713.06/206,816.20
  6. Step 6: Final answer
    x = 99,884.68

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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.