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Finding the Fourth Proportional to 221,674.25, 305,910.81 and 126,180.92

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Solution

The fourth proportional to 221,674.25, 305,910.81 and 126,180.92 is: 174,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,674.25 : 305,910.81 = 126,180.92 : x
  2. Step 2: Convert to fraction form
    221,674.25/305,910.81 = 126,180.92/x
  3. Step 3: Cross multiply
    221,674.25x = 305,910.81 × 126,180.92
  4. Step 4: Simplify right side
    221,674.25x = 38,600,108,208.52
  5. Step 5: Solve for x
    x = 38,600,108,208.52/221,674.25
  6. Step 6: Final answer
    x = 174,129.87

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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.