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Finding the Fourth Proportional to 225,531.92, 311,233.38 and 130,037.78

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Solution

The fourth proportional to 225,531.92, 311,233.38 and 130,037.78 is: 179,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,531.92 : 311,233.38 = 130,037.78 : x
  2. Step 2: Convert to fraction form
    225,531.92/311,233.38 = 130,037.78/x
  3. Step 3: Cross multiply
    225,531.92x = 311,233.38 × 130,037.78
  4. Step 4: Simplify right side
    225,531.92x = 40,472,097,797.10
  5. Step 5: Solve for x
    x = 40,472,097,797.10/225,531.92
  6. Step 6: Final answer
    x = 179,451.75

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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.