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Finding the Fourth Proportional to 225,814.50, 311,672.61 and 135,190.69

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Solution

The fourth proportional to 225,814.50, 311,672.61 and 135,190.69 is: 186,592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,814.50 : 311,672.61 = 135,190.69 : x
  2. Step 2: Convert to fraction form
    225,814.50/311,672.61 = 135,190.69/x
  3. Step 3: Cross multiply
    225,814.50x = 311,672.61 × 135,190.69
  4. Step 4: Simplify right side
    225,814.50x = 42,135,234,420.82
  5. Step 5: Solve for x
    x = 42,135,234,420.82/225,814.50
  6. Step 6: Final answer
    x = 186,592.24

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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.