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Finding the Fourth Proportional to 198,622.94, 274,102.38 and 107,978.91

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Solution

The fourth proportional to 198,622.94, 274,102.38 and 107,978.91 is: 149,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,622.94 : 274,102.38 = 107,978.91 : x
  2. Step 2: Convert to fraction form
    198,622.94/274,102.38 = 107,978.91/x
  3. Step 3: Cross multiply
    198,622.94x = 274,102.38 × 107,978.91
  4. Step 4: Simplify right side
    198,622.94x = 29,597,275,192.92
  5. Step 5: Solve for x
    x = 29,597,275,192.92/198,622.94
  6. Step 6: Final answer
    x = 149,012.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.