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Finding the Fourth Proportional to 225,908.88, 311,961.60 and 145,477.68

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Solution

The fourth proportional to 225,908.88, 311,961.60 and 145,477.68 is: 200,892.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,908.88 : 311,961.60 = 145,477.68 : x
  2. Step 2: Convert to fraction form
    225,908.88/311,961.60 = 145,477.68/x
  3. Step 3: Cross multiply
    225,908.88x = 311,961.60 × 145,477.68
  4. Step 4: Simplify right side
    225,908.88x = 45,383,449,817.09
  5. Step 5: Solve for x
    x = 45,383,449,817.09/225,908.88
  6. Step 6: Final answer
    x = 200,892.72

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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.