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Finding the Fourth Proportional to 206,504.96, 309,753.77 and 56,744.64

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Solution

The fourth proportional to 206,504.96, 309,753.77 and 56,744.64 is: 85,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,504.96 : 309,753.77 = 56,744.64 : x
  2. Step 2: Convert to fraction form
    206,504.96/309,753.77 = 56,744.64/x
  3. Step 3: Cross multiply
    206,504.96x = 309,753.77 × 56,744.64
  4. Step 4: Simplify right side
    206,504.96x = 17,576,865,883.57
  5. Step 5: Solve for x
    x = 17,576,865,883.57/206,504.96
  6. Step 6: Final answer
    x = 85,115.95

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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.