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Finding the Fourth Proportional to 206,559.72, 309,795.84 and 66,285.54

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Solution

The fourth proportional to 206,559.72, 309,795.84 and 66,285.54 is: 99,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,559.72 : 309,795.84 = 66,285.54 : x
  2. Step 2: Convert to fraction form
    206,559.72/309,795.84 = 66,285.54/x
  3. Step 3: Cross multiply
    206,559.72x = 309,795.84 × 66,285.54
  4. Step 4: Simplify right side
    206,559.72x = 20,534,984,544.15
  5. Step 5: Solve for x
    x = 20,534,984,544.15/206,559.72
  6. Step 6: Final answer
    x = 99,414.27

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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.