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Finding the Fourth Proportional to 275,111.52, 412,639.60 and 75,451.98

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Solution

The fourth proportional to 275,111.52, 412,639.60 and 75,451.98 is: 113,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,111.52 : 412,639.60 = 75,451.98 : x
  2. Step 2: Convert to fraction form
    275,111.52/412,639.60 = 75,451.98/x
  3. Step 3: Cross multiply
    275,111.52x = 412,639.60 × 75,451.98
  4. Step 4: Simplify right side
    275,111.52x = 31,134,474,846.41
  5. Step 5: Solve for x
    x = 31,134,474,846.41/275,111.52
  6. Step 6: Final answer
    x = 113,170.38

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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.