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Finding the Fourth Proportional to 221,199.75, 305,255.30 and 125,706.51

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Solution

The fourth proportional to 221,199.75, 305,255.30 and 125,706.51 is: 173,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,199.75 : 305,255.30 = 125,706.51 : x
  2. Step 2: Convert to fraction form
    221,199.75/305,255.30 = 125,706.51/x
  3. Step 3: Cross multiply
    221,199.75x = 305,255.30 × 125,706.51
  4. Step 4: Simplify right side
    221,199.75x = 38,372,577,793.47
  5. Step 5: Solve for x
    x = 38,372,577,793.47/221,199.75
  6. Step 6: Final answer
    x = 173,474.78

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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.