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Finding the Fourth Proportional to 221,364.64, 305,481.78 and 125,871.33

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Solution

The fourth proportional to 221,364.64, 305,481.78 and 125,871.33 is: 173,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,364.64 : 305,481.78 = 125,871.33 : x
  2. Step 2: Convert to fraction form
    221,364.64/305,481.78 = 125,871.33/x
  3. Step 3: Cross multiply
    221,364.64x = 305,481.78 × 125,871.33
  4. Step 4: Simplify right side
    221,364.64x = 38,451,397,939.37
  5. Step 5: Solve for x
    x = 38,451,397,939.37/221,364.64
  6. Step 6: Final answer
    x = 173,701.63

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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.