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Finding the Fourth Proportional to 259,625.90, 389,475.30 and 82,114.40

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Solution

The fourth proportional to 259,625.90, 389,475.30 and 82,114.40 is: 123,183.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,625.90 : 389,475.30 = 82,114.40 : x
  2. Step 2: Convert to fraction form
    259,625.90/389,475.30 = 82,114.40/x
  3. Step 3: Cross multiply
    259,625.90x = 389,475.30 × 82,114.40
  4. Step 4: Simplify right side
    259,625.90x = 31,981,530,574.32
  5. Step 5: Solve for x
    x = 31,981,530,574.32/259,625.90
  6. Step 6: Final answer
    x = 123,183.13

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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.