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Finding the Fourth Proportional to 198,622.97, 274,099.11 and 107,978.84

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Solution

The fourth proportional to 198,622.97, 274,099.11 and 107,978.84 is: 149,010.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,622.97 : 274,099.11 = 107,978.84 : x
  2. Step 2: Convert to fraction form
    198,622.97/274,099.11 = 107,978.84/x
  3. Step 3: Cross multiply
    198,622.97x = 274,099.11 × 107,978.84
  4. Step 4: Simplify right side
    198,622.97x = 29,596,903,942.83
  5. Step 5: Solve for x
    x = 29,596,903,942.83/198,622.97
  6. Step 6: Final answer
    x = 149,010.48

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1.5x scale

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.