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Finding the Fourth Proportional to 259,496.78, 389,242.80 and 82,003.77

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Solution

The fourth proportional to 259,496.78, 389,242.80 and 82,003.77 is: 123,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,496.78 : 389,242.80 = 82,003.77 : x
  2. Step 2: Convert to fraction form
    259,496.78/389,242.80 = 82,003.77/x
  3. Step 3: Cross multiply
    259,496.78x = 389,242.80 × 82,003.77
  4. Step 4: Simplify right side
    259,496.78x = 31,919,377,045.36
  5. Step 5: Solve for x
    x = 31,919,377,045.36/259,496.78
  6. Step 6: Final answer
    x = 123,004.91

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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.