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Finding the Fourth Proportional to 206,508.58, 309,638.09 and 92,635.54

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Solution

The fourth proportional to 206,508.58, 309,638.09 and 92,635.54 is: 138,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,508.58 : 309,638.09 = 92,635.54 : x
  2. Step 2: Convert to fraction form
    206,508.58/309,638.09 = 92,635.54/x
  3. Step 3: Cross multiply
    206,508.58x = 309,638.09 × 92,635.54
  4. Step 4: Simplify right side
    206,508.58x = 28,683,491,129.21
  5. Step 5: Solve for x
    x = 28,683,491,129.21/206,508.58
  6. Step 6: Final answer
    x = 138,897.34

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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.