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Finding the Fourth Proportional to 221,290.82, 305,379.94 and 125,797.54

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Solution

The fourth proportional to 221,290.82, 305,379.94 and 125,797.54 is: 173,599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,290.82 : 305,379.94 = 125,797.54 : x
  2. Step 2: Convert to fraction form
    221,290.82/305,379.94 = 125,797.54/x
  3. Step 3: Cross multiply
    221,290.82x = 305,379.94 × 125,797.54
  4. Step 4: Simplify right side
    221,290.82x = 38,416,045,217.35
  5. Step 5: Solve for x
    x = 38,416,045,217.35/221,290.82
  6. Step 6: Final answer
    x = 173,599.81

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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.