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Finding the Fourth Proportional to 221,380, 305,504.40 and 131,956

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Solution

The fourth proportional to 221,380, 305,504.40 and 131,956 is: 182,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,380 : 305,504.40 = 131,956 : x
  2. Step 2: Convert to fraction form
    221,380/305,504.40 = 131,956/x
  3. Step 3: Cross multiply
    221,380x = 305,504.40 × 131,956
  4. Step 4: Simplify right side
    221,380x = 40,313,138,606.40
  5. Step 5: Solve for x
    x = 40,313,138,606.40/221,380
  6. Step 6: Final answer
    x = 182,099.28

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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.