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Finding the Fourth Proportional to 221,532.32, 305,709.84 and 120,932

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Solution

The fourth proportional to 221,532.32, 305,709.84 and 120,932 is: 166,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,532.32 : 305,709.84 = 120,932 : x
  2. Step 2: Convert to fraction form
    221,532.32/305,709.84 = 120,932/x
  3. Step 3: Cross multiply
    221,532.32x = 305,709.84 × 120,932
  4. Step 4: Simplify right side
    221,532.32x = 36,970,102,370.88
  5. Step 5: Solve for x
    x = 36,970,102,370.88/221,532.32
  6. Step 6: Final answer
    x = 166,883.56

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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.