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Finding the Fourth Proportional to 218,296.60, 327,380.10 and 85,100.20

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Solution

The fourth proportional to 218,296.60, 327,380.10 and 85,100.20 is: 127,625.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,296.60 : 327,380.10 = 85,100.20 : x
  2. Step 2: Convert to fraction form
    218,296.60/327,380.10 = 85,100.20/x
  3. Step 3: Cross multiply
    218,296.60x = 327,380.10 × 85,100.20
  4. Step 4: Simplify right side
    218,296.60x = 27,860,111,986.02
  5. Step 5: Solve for x
    x = 27,860,111,986.02/218,296.60
  6. Step 6: Final answer
    x = 127,625.04

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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.