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Finding the Fourth Proportional to 198,794.88, 298,194.72 and 78,881.28

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Solution

The fourth proportional to 198,794.88, 298,194.72 and 78,881.28 is: 118,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,794.88 : 298,194.72 = 78,881.28 : x
  2. Step 2: Convert to fraction form
    198,794.88/298,194.72 = 78,881.28/x
  3. Step 3: Cross multiply
    198,794.88x = 298,194.72 × 78,881.28
  4. Step 4: Simplify right side
    198,794.88x = 23,521,981,202.84
  5. Step 5: Solve for x
    x = 23,521,981,202.84/198,794.88
  6. Step 6: Final answer
    x = 118,322.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.