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Finding the Fourth Proportional to 198,647.20, 297,740.40 and 80,240.80

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Solution

The fourth proportional to 198,647.20, 297,740.40 and 80,240.80 is: 120,268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,647.20 : 297,740.40 = 80,240.80 : x
  2. Step 2: Convert to fraction form
    198,647.20/297,740.40 = 80,240.80/x
  3. Step 3: Cross multiply
    198,647.20x = 297,740.40 × 80,240.80
  4. Step 4: Simplify right side
    198,647.20x = 23,890,927,888.32
  5. Step 5: Solve for x
    x = 23,890,927,888.32/198,647.20
  6. Step 6: Final answer
    x = 120,268.13

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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.