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Finding the Fourth Proportional to 206,508.05, 309,765.47 and 56,747.40

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Solution

The fourth proportional to 206,508.05, 309,765.47 and 56,747.40 is: 85,122.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,508.05 : 309,765.47 = 56,747.40 : x
  2. Step 2: Convert to fraction form
    206,508.05/309,765.47 = 56,747.40/x
  3. Step 3: Cross multiply
    206,508.05x = 309,765.47 × 56,747.40
  4. Step 4: Simplify right side
    206,508.05x = 17,578,384,748.54
  5. Step 5: Solve for x
    x = 17,578,384,748.54/206,508.05
  6. Step 6: Final answer
    x = 85,122.03

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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.