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Finding the Fourth Proportional to 259,490.75, 389,233.80 and 81,997.78

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Solution

The fourth proportional to 259,490.75, 389,233.80 and 81,997.78 is: 122,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,490.75 : 389,233.80 = 81,997.78 : x
  2. Step 2: Convert to fraction form
    259,490.75/389,233.80 = 81,997.78/x
  3. Step 3: Cross multiply
    259,490.75x = 389,233.80 × 81,997.78
  4. Step 4: Simplify right side
    259,490.75x = 31,916,307,500.96
  5. Step 5: Solve for x
    x = 31,916,307,500.96/259,490.75
  6. Step 6: Final answer
    x = 122,995.94

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1.5x scale

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.