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Finding the Fourth Proportional to 259,674.54, 389,682 and 91,190.46

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Solution

The fourth proportional to 259,674.54, 389,682 and 91,190.46 is: 136,845.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,674.54 : 389,682 = 91,190.46 : x
  2. Step 2: Convert to fraction form
    259,674.54/389,682 = 91,190.46/x
  3. Step 3: Cross multiply
    259,674.54x = 389,682 × 91,190.46
  4. Step 4: Simplify right side
    259,674.54x = 35,535,280,833.72
  5. Step 5: Solve for x
    x = 35,535,280,833.72/259,674.54
  6. Step 6: Final answer
    x = 136,845.46

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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.