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Finding the Fourth Proportional to 198,865.78, 274,434.78 and 109,441.78

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Solution

The fourth proportional to 198,865.78, 274,434.78 and 109,441.78 is: 151,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,865.78 : 274,434.78 = 109,441.78 : x
  2. Step 2: Convert to fraction form
    198,865.78/274,434.78 = 109,441.78/x
  3. Step 3: Cross multiply
    198,865.78x = 274,434.78 × 109,441.78
  4. Step 4: Simplify right side
    198,865.78x = 30,034,630,817.11
  5. Step 5: Solve for x
    x = 30,034,630,817.11/198,865.78
  6. Step 6: Final answer
    x = 151,029.66

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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.