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Finding the Fourth Proportional to 206,508.09, 309,765.56 and 56,747.46

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Solution

The fourth proportional to 206,508.09, 309,765.56 and 56,747.46 is: 85,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,508.09 : 309,765.56 = 56,747.46 : x
  2. Step 2: Convert to fraction form
    206,508.09/309,765.56 = 56,747.46/x
  3. Step 3: Cross multiply
    206,508.09x = 309,765.56 × 56,747.46
  4. Step 4: Simplify right side
    206,508.09x = 17,578,408,867.35
  5. Step 5: Solve for x
    x = 17,578,408,867.35/206,508.09
  6. Step 6: Final answer
    x = 85,122.13

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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.