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Finding the Fourth Proportional to 206,895.87, 310,393.62 and 71,940.42

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Solution

The fourth proportional to 206,895.87, 310,393.62 and 71,940.42 is: 107,927.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,895.87 : 310,393.62 = 71,940.42 : x
  2. Step 2: Convert to fraction form
    206,895.87/310,393.62 = 71,940.42/x
  3. Step 3: Cross multiply
    206,895.87x = 310,393.62 × 71,940.42
  4. Step 4: Simplify right side
    206,895.87x = 22,329,847,388.12
  5. Step 5: Solve for x
    x = 22,329,847,388.12/206,895.87
  6. Step 6: Final answer
    x = 107,927.95

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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.