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Finding the Fourth Proportional to 225,959.67, 311,834.12 and 135,330.39

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Solution

The fourth proportional to 225,959.67, 311,834.12 and 135,330.39 is: 186,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,959.67 : 311,834.12 = 135,330.39 : x
  2. Step 2: Convert to fraction form
    225,959.67/311,834.12 = 135,330.39/x
  3. Step 3: Cross multiply
    225,959.67x = 311,834.12 × 135,330.39
  4. Step 4: Simplify right side
    225,959.67x = 42,200,632,398.25
  5. Step 5: Solve for x
    x = 42,200,632,398.25/225,959.67
  6. Step 6: Final answer
    x = 186,761.79

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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.