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Finding the Fourth Proportional to 198,620.73, 274,093.34 and 107,978.94

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Solution

The fourth proportional to 198,620.73, 274,093.34 and 107,978.94 is: 149,009.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,620.73 : 274,093.34 = 107,978.94 : x
  2. Step 2: Convert to fraction form
    198,620.73/274,093.34 = 107,978.94/x
  3. Step 3: Cross multiply
    198,620.73x = 274,093.34 × 107,978.94
  4. Step 4: Simplify right side
    198,620.73x = 29,596,307,774.36
  5. Step 5: Solve for x
    x = 29,596,307,774.36/198,620.73
  6. Step 6: Final answer
    x = 149,009.16

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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.