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Finding the Fourth Proportional to 225,757.71, 311,555.49 and 135,096.43

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Solution

The fourth proportional to 225,757.71, 311,555.49 and 135,096.43 is: 186,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,757.71 : 311,555.49 = 135,096.43 : x
  2. Step 2: Convert to fraction form
    225,757.71/311,555.49 = 135,096.43/x
  3. Step 3: Cross multiply
    225,757.71x = 311,555.49 × 135,096.43
  4. Step 4: Simplify right side
    225,757.71x = 42,090,034,445.90
  5. Step 5: Solve for x
    x = 42,090,034,445.90/225,757.71
  6. Step 6: Final answer
    x = 186,438.97

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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.