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Finding the Fourth Proportional to 198,419.80, 297,629.70 and 67,091.80

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Solution

The fourth proportional to 198,419.80, 297,629.70 and 67,091.80 is: 100,637.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,419.80 : 297,629.70 = 67,091.80 : x
  2. Step 2: Convert to fraction form
    198,419.80/297,629.70 = 67,091.80/x
  3. Step 3: Cross multiply
    198,419.80x = 297,629.70 × 67,091.80
  4. Step 4: Simplify right side
    198,419.80x = 19,968,512,306.46
  5. Step 5: Solve for x
    x = 19,968,512,306.46/198,419.80
  6. Step 6: Final answer
    x = 100,637.70

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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.