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Finding the Fourth Proportional to 259,508.52, 389,112.12 and 126,220.68

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Solution

The fourth proportional to 259,508.52, 389,112.12 and 126,220.68 is: 189,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,508.52 : 389,112.12 = 126,220.68 : x
  2. Step 2: Convert to fraction form
    259,508.52/389,112.12 = 126,220.68/x
  3. Step 3: Cross multiply
    259,508.52x = 389,112.12 × 126,220.68
  4. Step 4: Simplify right side
    259,508.52x = 49,113,996,382.64
  5. Step 5: Solve for x
    x = 49,113,996,382.64/259,508.52
  6. Step 6: Final answer
    x = 189,257.74

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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.