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Finding the Fourth Proportional to 206,011.91, 309,217.62 and 99,471.04

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Solution

The fourth proportional to 206,011.91, 309,217.62 and 99,471.04 is: 149,303.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,011.91 : 309,217.62 = 99,471.04 : x
  2. Step 2: Convert to fraction form
    206,011.91/309,217.62 = 99,471.04/x
  3. Step 3: Cross multiply
    206,011.91x = 309,217.62 × 99,471.04
  4. Step 4: Simplify right side
    206,011.91x = 30,758,198,247.72
  5. Step 5: Solve for x
    x = 30,758,198,247.72/206,011.91
  6. Step 6: Final answer
    x = 149,303.01

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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.