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Finding the Fourth Proportional to 198,558.66, 274,012.77 and 107,914.86

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Solution

The fourth proportional to 198,558.66, 274,012.77 and 107,914.86 is: 148,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,558.66 : 274,012.77 = 107,914.86 : x
  2. Step 2: Convert to fraction form
    198,558.66/274,012.77 = 107,914.86/x
  3. Step 3: Cross multiply
    198,558.66x = 274,012.77 × 107,914.86
  4. Step 4: Simplify right side
    198,558.66x = 29,570,049,712.76
  5. Step 5: Solve for x
    x = 29,570,049,712.76/198,558.66
  6. Step 6: Final answer
    x = 148,923.50

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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.