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Finding the Fourth Proportional to 198,989.40, 298,046.70 and 119,965.80

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Solution

The fourth proportional to 198,989.40, 298,046.70 and 119,965.80 is: 179,685.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,989.40 : 298,046.70 = 119,965.80 : x
  2. Step 2: Convert to fraction form
    198,989.40/298,046.70 = 119,965.80/x
  3. Step 3: Cross multiply
    198,989.40x = 298,046.70 × 119,965.80
  4. Step 4: Simplify right side
    198,989.40x = 35,755,410,802.86
  5. Step 5: Solve for x
    x = 35,755,410,802.86/198,989.40
  6. Step 6: Final answer
    x = 179,685.00

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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.