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Finding the Fourth Proportional to 225,711.04, 311,469.24 and 130,212.04

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Solution

The fourth proportional to 225,711.04, 311,469.24 and 130,212.04 is: 179,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,711.04 : 311,469.24 = 130,212.04 : x
  2. Step 2: Convert to fraction form
    225,711.04/311,469.24 = 130,212.04/x
  3. Step 3: Cross multiply
    225,711.04x = 311,469.24 × 130,212.04
  4. Step 4: Simplify right side
    225,711.04x = 40,557,045,137.65
  5. Step 5: Solve for x
    x = 40,557,045,137.65/225,711.04
  6. Step 6: Final answer
    x = 179,685.70

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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.