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Finding the Fourth Proportional to 204,456.65, 306,816.21 and 99,218.21

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Solution

The fourth proportional to 204,456.65, 306,816.21 and 99,218.21 is: 148,891.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,456.65 : 306,816.21 = 99,218.21 : x
  2. Step 2: Convert to fraction form
    204,456.65/306,816.21 = 99,218.21/x
  3. Step 3: Cross multiply
    204,456.65x = 306,816.21 × 99,218.21
  4. Step 4: Simplify right side
    204,456.65x = 30,441,753,621.10
  5. Step 5: Solve for x
    x = 30,441,753,621.10/204,456.65
  6. Step 6: Final answer
    x = 148,891.00

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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.