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Finding the Fourth Proportional to 198,987.40, 298,043.70 and 119,963.80

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Solution

The fourth proportional to 198,987.40, 298,043.70 and 119,963.80 is: 179,682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,987.40 : 298,043.70 = 119,963.80 : x
  2. Step 2: Convert to fraction form
    198,987.40/298,043.70 = 119,963.80/x
  3. Step 3: Cross multiply
    198,987.40x = 298,043.70 × 119,963.80
  4. Step 4: Simplify right side
    198,987.40x = 35,754,454,818.06
  5. Step 5: Solve for x
    x = 35,754,454,818.06/198,987.40
  6. Step 6: Final answer
    x = 179,682.00

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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.