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Finding the Fourth Proportional to 206,958.16, 285,625.86 and 115,086.54

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Solution

The fourth proportional to 206,958.16, 285,625.86 and 115,086.54 is: 158,832.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,958.16 : 285,625.86 = 115,086.54 : x
  2. Step 2: Convert to fraction form
    206,958.16/285,625.86 = 115,086.54/x
  3. Step 3: Cross multiply
    206,958.16x = 285,625.86 × 115,086.54
  4. Step 4: Simplify right side
    206,958.16x = 32,871,691,961.92
  5. Step 5: Solve for x
    x = 32,871,691,961.92/206,958.16
  6. Step 6: Final answer
    x = 158,832.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.