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Finding the Fourth Proportional to 225,841.89, 311,639.34 and 130,379.34

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Solution

The fourth proportional to 225,841.89, 311,639.34 and 130,379.34 is: 179,910.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,841.89 : 311,639.34 = 130,379.34 : x
  2. Step 2: Convert to fraction form
    225,841.89/311,639.34 = 130,379.34/x
  3. Step 3: Cross multiply
    225,841.89x = 311,639.34 × 130,379.34
  4. Step 4: Simplify right side
    225,841.89x = 40,631,331,467.24
  5. Step 5: Solve for x
    x = 40,631,331,467.24/225,841.89
  6. Step 6: Final answer
    x = 179,910.52

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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.