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Finding the Fourth Proportional to 206,760.64, 309,943.98 and 66,420.76

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Solution

The fourth proportional to 206,760.64, 309,943.98 and 66,420.76 is: 99,567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,760.64 : 309,943.98 = 66,420.76 : x
  2. Step 2: Convert to fraction form
    206,760.64/309,943.98 = 66,420.76/x
  3. Step 3: Cross multiply
    206,760.64x = 309,943.98 × 66,420.76
  4. Step 4: Simplify right side
    206,760.64x = 20,586,714,709.02
  5. Step 5: Solve for x
    x = 20,586,714,709.02/206,760.64
  6. Step 6: Final answer
    x = 99,567.86

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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.