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Finding the Fourth Proportional to 221,147.69, 305,183.09 and 120,545.69

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Solution

The fourth proportional to 221,147.69, 305,183.09 and 120,545.69 is: 166,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,147.69 : 305,183.09 = 120,545.69 : x
  2. Step 2: Convert to fraction form
    221,147.69/305,183.09 = 120,545.69/x
  3. Step 3: Cross multiply
    221,147.69x = 305,183.09 × 120,545.69
  4. Step 4: Simplify right side
    221,147.69x = 36,788,504,935.83
  5. Step 5: Solve for x
    x = 36,788,504,935.83/221,147.69
  6. Step 6: Final answer
    x = 166,352.66

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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.