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Finding the Fourth Proportional to 206,396.78, 309,593.82 and 56,625.35

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Solution

The fourth proportional to 206,396.78, 309,593.82 and 56,625.35 is: 84,937.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,396.78 : 309,593.82 = 56,625.35 : x
  2. Step 2: Convert to fraction form
    206,396.78/309,593.82 = 56,625.35/x
  3. Step 3: Cross multiply
    206,396.78x = 309,593.82 × 56,625.35
  4. Step 4: Simplify right side
    206,396.78x = 17,530,858,415.34
  5. Step 5: Solve for x
    x = 17,530,858,415.34/206,396.78
  6. Step 6: Final answer
    x = 84,937.65

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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.