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Finding the Fourth Proportional to 206,482.77, 309,687.12 and 54,680.81

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Solution

The fourth proportional to 206,482.77, 309,687.12 and 54,680.81 is: 82,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,482.77 : 309,687.12 = 54,680.81 : x
  2. Step 2: Convert to fraction form
    206,482.77/309,687.12 = 54,680.81/x
  3. Step 3: Cross multiply
    206,482.77x = 309,687.12 × 54,680.81
  4. Step 4: Simplify right side
    206,482.77x = 16,933,941,019.73
  5. Step 5: Solve for x
    x = 16,933,941,019.73/206,482.77
  6. Step 6: Final answer
    x = 82,011.40

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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.