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Finding the Fourth Proportional to 206,382.15, 309,594.42 and 71,446.01

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Solution

The fourth proportional to 206,382.15, 309,594.42 and 71,446.01 is: 107,176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,382.15 : 309,594.42 = 71,446.01 : x
  2. Step 2: Convert to fraction form
    206,382.15/309,594.42 = 71,446.01/x
  3. Step 3: Cross multiply
    206,382.15x = 309,594.42 × 71,446.01
  4. Step 4: Simplify right side
    206,382.15x = 22,119,284,479.29
  5. Step 5: Solve for x
    x = 22,119,284,479.29/206,382.15
  6. Step 6: Final answer
    x = 107,176.34

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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.