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Finding the Fourth Proportional to 206,863.16, 310,343.34 and 66,616.52

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Solution

The fourth proportional to 206,863.16, 310,343.34 and 66,616.52 is: 99,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,863.16 : 310,343.34 = 66,616.52 : x
  2. Step 2: Convert to fraction form
    206,863.16/310,343.34 = 66,616.52/x
  3. Step 3: Cross multiply
    206,863.16x = 310,343.34 × 66,616.52
  4. Step 4: Simplify right side
    206,863.16x = 20,673,993,315.98
  5. Step 5: Solve for x
    x = 20,673,993,315.98/206,863.16
  6. Step 6: Final answer
    x = 99,940.43

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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.