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Finding the Fourth Proportional to 225,530.92, 311,232 and 130,036.78

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Solution

The fourth proportional to 225,530.92, 311,232 and 130,036.78 is: 179,450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,530.92 : 311,232 = 130,036.78 : x
  2. Step 2: Convert to fraction form
    225,530.92/311,232 = 130,036.78/x
  3. Step 3: Cross multiply
    225,530.92x = 311,232 × 130,036.78
  4. Step 4: Simplify right side
    225,530.92x = 40,471,607,112.96
  5. Step 5: Solve for x
    x = 40,471,607,112.96/225,530.92
  6. Step 6: Final answer
    x = 179,450.37

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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.