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Finding the Fourth Proportional to 206,531.97, 309,801.37 and 56,771.34

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Solution

The fourth proportional to 206,531.97, 309,801.37 and 56,771.34 is: 85,157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,531.97 : 309,801.37 = 56,771.34 : x
  2. Step 2: Convert to fraction form
    206,531.97/309,801.37 = 56,771.34/x
  3. Step 3: Cross multiply
    206,531.97x = 309,801.37 × 56,771.34
  4. Step 4: Simplify right side
    206,531.97x = 17,587,837,359.73
  5. Step 5: Solve for x
    x = 17,587,837,359.73/206,531.97
  6. Step 6: Final answer
    x = 85,157.94

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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.