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Finding the Fourth Proportional to 221,520.96, 305,698.82 and 120,918.96

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Solution

The fourth proportional to 221,520.96, 305,698.82 and 120,918.96 is: 166,868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,520.96 : 305,698.82 = 120,918.96 : x
  2. Step 2: Convert to fraction form
    221,520.96/305,698.82 = 120,918.96/x
  3. Step 3: Cross multiply
    221,520.96x = 305,698.82 × 120,918.96
  4. Step 4: Simplify right side
    221,520.96x = 36,964,783,387.63
  5. Step 5: Solve for x
    x = 36,964,783,387.63/221,520.96
  6. Step 6: Final answer
    x = 166,868.11

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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.