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Finding the Fourth Proportional to 198,599.40, 297,704.70 and 80,112.60

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Solution

The fourth proportional to 198,599.40, 297,704.70 and 80,112.60 is: 120,090.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,599.40 : 297,704.70 = 80,112.60 : x
  2. Step 2: Convert to fraction form
    198,599.40/297,704.70 = 80,112.60/x
  3. Step 3: Cross multiply
    198,599.40x = 297,704.70 × 80,112.60
  4. Step 4: Simplify right side
    198,599.40x = 23,849,897,549.22
  5. Step 5: Solve for x
    x = 23,849,897,549.22/198,599.40
  6. Step 6: Final answer
    x = 120,090.48

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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.