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Finding the Fourth Proportional to 198,793.60, 298,190.40 and 51,049.60

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Solution

The fourth proportional to 198,793.60, 298,190.40 and 51,049.60 is: 76,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,793.60 : 298,190.40 = 51,049.60 : x
  2. Step 2: Convert to fraction form
    198,793.60/298,190.40 = 51,049.60/x
  3. Step 3: Cross multiply
    198,793.60x = 298,190.40 × 51,049.60
  4. Step 4: Simplify right side
    198,793.60x = 15,222,500,643.84
  5. Step 5: Solve for x
    x = 15,222,500,643.84/198,793.60
  6. Step 6: Final answer
    x = 76,574.40

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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.