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Finding the Fourth Proportional to 206,456, 309,736 and 58,712

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Solution

The fourth proportional to 206,456, 309,736 and 58,712 is: 88,082.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,456 : 309,736 = 58,712 : x
  2. Step 2: Convert to fraction form
    206,456/309,736 = 58,712/x
  3. Step 3: Cross multiply
    206,456x = 309,736 × 58,712
  4. Step 4: Simplify right side
    206,456x = 18,185,220,032
  5. Step 5: Solve for x
    x = 18,185,220,032/206,456
  6. Step 6: Final answer
    x = 88,082.79

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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.