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Finding the Fourth Proportional to 198,336.60, 297,577.80 and 80,019.90

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Solution

The fourth proportional to 198,336.60, 297,577.80 and 80,019.90 is: 120,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,336.60 : 297,577.80 = 80,019.90 : x
  2. Step 2: Convert to fraction form
    198,336.60/297,577.80 = 80,019.90/x
  3. Step 3: Cross multiply
    198,336.60x = 297,577.80 × 80,019.90
  4. Step 4: Simplify right side
    198,336.60x = 23,812,145,798.22
  5. Step 5: Solve for x
    x = 23,812,145,798.22/198,336.60
  6. Step 6: Final answer
    x = 120,059.26

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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.