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Finding the Fourth Proportional to 206,165.15, 308,983.46 and 179,399.92

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Solution

The fourth proportional to 206,165.15, 308,983.46 and 179,399.92 is: 268,869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,165.15 : 308,983.46 = 179,399.92 : x
  2. Step 2: Convert to fraction form
    206,165.15/308,983.46 = 179,399.92/x
  3. Step 3: Cross multiply
    206,165.15x = 308,983.46 × 179,399.92
  4. Step 4: Simplify right side
    206,165.15x = 55,431,605,563.41
  5. Step 5: Solve for x
    x = 55,431,605,563.41/206,165.15
  6. Step 6: Final answer
    x = 268,869.91

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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.