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Finding the Fourth Proportional to 259,470.70, 389,218.20 and 81,991.60

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Solution

The fourth proportional to 259,470.70, 389,218.20 and 81,991.60 is: 122,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,470.70 : 389,218.20 = 81,991.60 : x
  2. Step 2: Convert to fraction form
    259,470.70/389,218.20 = 81,991.60/x
  3. Step 3: Cross multiply
    259,470.70x = 389,218.20 × 81,991.60
  4. Step 4: Simplify right side
    259,470.70x = 31,912,622,967.12
  5. Step 5: Solve for x
    x = 31,912,622,967.12/259,470.70
  6. Step 6: Final answer
    x = 122,991.24

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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.