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Finding the Fourth Proportional to 221,469.61, 305,628.07 and 120,867.61

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Solution

The fourth proportional to 221,469.61, 305,628.07 and 120,867.61 is: 166,797.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,469.61 : 305,628.07 = 120,867.61 : x
  2. Step 2: Convert to fraction form
    221,469.61/305,628.07 = 120,867.61/x
  3. Step 3: Cross multiply
    221,469.61x = 305,628.07 × 120,867.61
  4. Step 4: Simplify right side
    221,469.61x = 36,940,534,103.25
  5. Step 5: Solve for x
    x = 36,940,534,103.25/221,469.61
  6. Step 6: Final answer
    x = 166,797.31

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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.