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Finding the Fourth Proportional to 198,275, 273,625.26 and 108,856.76

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Solution

The fourth proportional to 198,275, 273,625.26 and 108,856.76 is: 150,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,275 : 273,625.26 = 108,856.76 : x
  2. Step 2: Convert to fraction form
    198,275/273,625.26 = 108,856.76/x
  3. Step 3: Cross multiply
    198,275x = 273,625.26 × 108,856.76
  4. Step 4: Simplify right side
    198,275x = 29,785,959,257.76
  5. Step 5: Solve for x
    x = 29,785,959,257.76/198,275
  6. Step 6: Final answer
    x = 150,225.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.