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Finding the Fourth Proportional to 275,110.51, 412,638.10 and 75,450.97

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Solution

The fourth proportional to 275,110.51, 412,638.10 and 75,450.97 is: 113,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,110.51 : 412,638.10 = 75,450.97 : x
  2. Step 2: Convert to fraction form
    275,110.51/412,638.10 = 75,450.97/x
  3. Step 3: Cross multiply
    275,110.51x = 412,638.10 × 75,450.97
  4. Step 4: Simplify right side
    275,110.51x = 31,133,944,903.96
  5. Step 5: Solve for x
    x = 31,133,944,903.96/275,110.51
  6. Step 6: Final answer
    x = 113,168.87

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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.