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Finding the Fourth Proportional to 198,587.84, 298,093.98 and 80,336.48

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Solution

The fourth proportional to 198,587.84, 298,093.98 and 80,336.48 is: 120,590.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,587.84 : 298,093.98 = 80,336.48 : x
  2. Step 2: Convert to fraction form
    198,587.84/298,093.98 = 80,336.48/x
  3. Step 3: Cross multiply
    198,587.84x = 298,093.98 × 80,336.48
  4. Step 4: Simplify right side
    198,587.84x = 23,947,821,062.39
  5. Step 5: Solve for x
    x = 23,947,821,062.39/198,587.84
  6. Step 6: Final answer
    x = 120,590.57

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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.