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Finding the Fourth Proportional to 221,140.85, 304,933.21 and 149,396.30

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Solution

The fourth proportional to 221,140.85, 304,933.21 and 149,396.30 is: 206,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,140.85 : 304,933.21 = 149,396.30 : x
  2. Step 2: Convert to fraction form
    221,140.85/304,933.21 = 149,396.30/x
  3. Step 3: Cross multiply
    221,140.85x = 304,933.21 × 149,396.30
  4. Step 4: Simplify right side
    221,140.85x = 45,555,893,709.97
  5. Step 5: Solve for x
    x = 45,555,893,709.97/221,140.85
  6. Step 6: Final answer
    x = 206,003.97

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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.