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Finding the Fourth Proportional to 259,293.82, 389,303.70 and 133,023.13

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Solution

The fourth proportional to 259,293.82, 389,303.70 and 133,023.13 is: 199,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,293.82 : 389,303.70 = 133,023.13 : x
  2. Step 2: Convert to fraction form
    259,293.82/389,303.70 = 133,023.13/x
  3. Step 3: Cross multiply
    259,293.82x = 389,303.70 × 133,023.13
  4. Step 4: Simplify right side
    259,293.82x = 51,786,396,694.58
  5. Step 5: Solve for x
    x = 51,786,396,694.58/259,293.82
  6. Step 6: Final answer
    x = 199,720.91

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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.