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Finding the Fourth Proportional to 275,128.36, 412,660.25 and 75,468.93

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Solution

The fourth proportional to 275,128.36, 412,660.25 and 75,468.93 is: 113,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,128.36 : 412,660.25 = 75,468.93 : x
  2. Step 2: Convert to fraction form
    275,128.36/412,660.25 = 75,468.93/x
  3. Step 3: Cross multiply
    275,128.36x = 412,660.25 × 75,468.93
  4. Step 4: Simplify right side
    275,128.36x = 31,143,026,247.27
  5. Step 5: Solve for x
    x = 31,143,026,247.27/275,128.36
  6. Step 6: Final answer
    x = 113,194.53

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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.