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Finding the Fourth Proportional to 206,490.30, 309,735.45 and 81,815.10

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Solution

The fourth proportional to 206,490.30, 309,735.45 and 81,815.10 is: 122,722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,490.30 : 309,735.45 = 81,815.10 : x
  2. Step 2: Convert to fraction form
    206,490.30/309,735.45 = 81,815.10/x
  3. Step 3: Cross multiply
    206,490.30x = 309,735.45 × 81,815.10
  4. Step 4: Simplify right side
    206,490.30x = 25,341,036,815.30
  5. Step 5: Solve for x
    x = 25,341,036,815.30/206,490.30
  6. Step 6: Final answer
    x = 122,722.65

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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.