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Finding the Fourth Proportional to 251,391.70, 376,978.20 and 82,846.90

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Solution

The fourth proportional to 251,391.70, 376,978.20 and 82,846.90 is: 124,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,391.70 : 376,978.20 = 82,846.90 : x
  2. Step 2: Convert to fraction form
    251,391.70/376,978.20 = 82,846.90/x
  3. Step 3: Cross multiply
    251,391.70x = 376,978.20 × 82,846.90
  4. Step 4: Simplify right side
    251,391.70x = 31,231,475,237.58
  5. Step 5: Solve for x
    x = 31,231,475,237.58/251,391.70
  6. Step 6: Final answer
    x = 124,234.31

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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.