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Finding the Fourth Proportional to 221,329.95, 305,435.31 and 120,727.95

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Solution

The fourth proportional to 221,329.95, 305,435.31 and 120,727.95 is: 166,604.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,329.95 : 305,435.31 = 120,727.95 : x
  2. Step 2: Convert to fraction form
    221,329.95/305,435.31 = 120,727.95/x
  3. Step 3: Cross multiply
    221,329.95x = 305,435.31 × 120,727.95
  4. Step 4: Simplify right side
    221,329.95x = 36,874,578,833.91
  5. Step 5: Solve for x
    x = 36,874,578,833.91/221,329.95
  6. Step 6: Final answer
    x = 166,604.56

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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.