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Finding the Fourth Proportional to 225,863.37, 311,685.71 and 130,385.97

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Solution

The fourth proportional to 225,863.37, 311,685.71 and 130,385.97 is: 179,929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,863.37 : 311,685.71 = 130,385.97 : x
  2. Step 2: Convert to fraction form
    225,863.37/311,685.71 = 130,385.97/x
  3. Step 3: Cross multiply
    225,863.37x = 311,685.71 × 130,385.97
  4. Step 4: Simplify right side
    225,863.37x = 40,639,442,981.56
  5. Step 5: Solve for x
    x = 40,639,442,981.56/225,863.37
  6. Step 6: Final answer
    x = 179,929.32

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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.