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Finding the Fourth Proportional to 225,405.17, 311,059.66 and 123,437.31

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Solution

The fourth proportional to 225,405.17, 311,059.66 and 123,437.31 is: 170,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,405.17 : 311,059.66 = 123,437.31 : x
  2. Step 2: Convert to fraction form
    225,405.17/311,059.66 = 123,437.31/x
  3. Step 3: Cross multiply
    225,405.17x = 311,059.66 × 123,437.31
  4. Step 4: Simplify right side
    225,405.17x = 38,396,367,679.91
  5. Step 5: Solve for x
    x = 38,396,367,679.91/225,405.17
  6. Step 6: Final answer
    x = 170,343.78

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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.