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Finding the Fourth Proportional to 206,598.78, 309,912.21 and 66,348.90

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Solution

The fourth proportional to 206,598.78, 309,912.21 and 66,348.90 is: 99,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,598.78 : 309,912.21 = 66,348.90 : x
  2. Step 2: Convert to fraction form
    206,598.78/309,912.21 = 66,348.90/x
  3. Step 3: Cross multiply
    206,598.78x = 309,912.21 × 66,348.90
  4. Step 4: Simplify right side
    206,598.78x = 20,562,334,230.07
  5. Step 5: Solve for x
    x = 20,562,334,230.07/206,598.78
  6. Step 6: Final answer
    x = 99,527.86

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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.