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Finding the Fourth Proportional to 206,352.56, 284,676.32 and 145,974.96

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Solution

The fourth proportional to 206,352.56, 284,676.32 and 145,974.96 is: 201,381.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,352.56 : 284,676.32 = 145,974.96 : x
  2. Step 2: Convert to fraction form
    206,352.56/284,676.32 = 145,974.96/x
  3. Step 3: Cross multiply
    206,352.56x = 284,676.32 × 145,974.96
  4. Step 4: Simplify right side
    206,352.56x = 41,555,614,789.88
  5. Step 5: Solve for x
    x = 41,555,614,789.88/206,352.56
  6. Step 6: Final answer
    x = 201,381.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.