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Finding the Fourth Proportional to 275,249.64, 412,875.11 and 75,572.76

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Solution

The fourth proportional to 275,249.64, 412,875.11 and 75,572.76 is: 113,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,249.64 : 412,875.11 = 75,572.76 : x
  2. Step 2: Convert to fraction form
    275,249.64/412,875.11 = 75,572.76/x
  3. Step 3: Cross multiply
    275,249.64x = 412,875.11 × 75,572.76
  4. Step 4: Simplify right side
    275,249.64x = 31,202,111,220.14
  5. Step 5: Solve for x
    x = 31,202,111,220.14/275,249.64
  6. Step 6: Final answer
    x = 113,359.32

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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.