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Finding the Fourth Proportional to 275,025.09, 412,655.27 and 115,138.38

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Solution

The fourth proportional to 275,025.09, 412,655.27 and 115,138.38 is: 172,756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,025.09 : 412,655.27 = 115,138.38 : x
  2. Step 2: Convert to fraction form
    275,025.09/412,655.27 = 115,138.38/x
  3. Step 3: Cross multiply
    275,025.09x = 412,655.27 × 115,138.38
  4. Step 4: Simplify right side
    275,025.09x = 47,512,458,710.57
  5. Step 5: Solve for x
    x = 47,512,458,710.57/275,025.09
  6. Step 6: Final answer
    x = 172,756.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.