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Finding the Fourth Proportional to 225,402.87, 311,042.14 and 123,429.54

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Solution

The fourth proportional to 225,402.87, 311,042.14 and 123,429.54 is: 170,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,402.87 : 311,042.14 = 123,429.54 : x
  2. Step 2: Convert to fraction form
    225,402.87/311,042.14 = 123,429.54/x
  3. Step 3: Cross multiply
    225,402.87x = 311,042.14 × 123,429.54
  4. Step 4: Simplify right side
    225,402.87x = 38,391,788,260.82
  5. Step 5: Solve for x
    x = 38,391,788,260.82/225,402.87
  6. Step 6: Final answer
    x = 170,325.20

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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.