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Finding the Fourth Proportional to 198,187.90, 297,350.97 and 84,393.34

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Solution

The fourth proportional to 198,187.90, 297,350.97 and 84,393.34 is: 126,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,187.90 : 297,350.97 = 84,393.34 : x
  2. Step 2: Convert to fraction form
    198,187.90/297,350.97 = 84,393.34/x
  3. Step 3: Cross multiply
    198,187.90x = 297,350.97 × 84,393.34
  4. Step 4: Simplify right side
    198,187.90x = 25,094,441,510.54
  5. Step 5: Solve for x
    x = 25,094,441,510.54/198,187.90
  6. Step 6: Final answer
    x = 126,619.44

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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.