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Finding the Fourth Proportional to 259,550.79, 389,323.85 and 82,057.86

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Solution

The fourth proportional to 259,550.79, 389,323.85 and 82,057.86 is: 123,086.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,550.79 : 389,323.85 = 82,057.86 : x
  2. Step 2: Convert to fraction form
    259,550.79/389,323.85 = 82,057.86/x
  3. Step 3: Cross multiply
    259,550.79x = 389,323.85 × 82,057.86
  4. Step 4: Simplify right side
    259,550.79x = 31,947,081,567.67
  5. Step 5: Solve for x
    x = 31,947,081,567.67/259,550.79
  6. Step 6: Final answer
    x = 123,086.05

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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.