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Finding the Fourth Proportional to 204,234.40, 306,471.48 and 85,896.64

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Solution

The fourth proportional to 204,234.40, 306,471.48 and 85,896.64 is: 128,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,234.40 : 306,471.48 = 85,896.64 : x
  2. Step 2: Convert to fraction form
    204,234.40/306,471.48 = 85,896.64/x
  3. Step 3: Cross multiply
    204,234.40x = 306,471.48 × 85,896.64
  4. Step 4: Simplify right side
    204,234.40x = 26,324,870,387.83
  5. Step 5: Solve for x
    x = 26,324,870,387.83/204,234.40
  6. Step 6: Final answer
    x = 128,895.38

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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.