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Finding the Fourth Proportional to 221,315.96, 305,404.62 and 120,694.52

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Solution

The fourth proportional to 221,315.96, 305,404.62 and 120,694.52 is: 166,552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,315.96 : 305,404.62 = 120,694.52 : x
  2. Step 2: Convert to fraction form
    221,315.96/305,404.62 = 120,694.52/x
  3. Step 3: Cross multiply
    221,315.96x = 305,404.62 × 120,694.52
  4. Step 4: Simplify right side
    221,315.96x = 36,860,664,016.68
  5. Step 5: Solve for x
    x = 36,860,664,016.68/221,315.96
  6. Step 6: Final answer
    x = 166,552.22

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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.