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Finding the Fourth Proportional to 218,316.60, 327,410.10 and 85,120.20

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Solution

The fourth proportional to 218,316.60, 327,410.10 and 85,120.20 is: 127,655.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,316.60 : 327,410.10 = 85,120.20 : x
  2. Step 2: Convert to fraction form
    218,316.60/327,410.10 = 85,120.20/x
  3. Step 3: Cross multiply
    218,316.60x = 327,410.10 × 85,120.20
  4. Step 4: Simplify right side
    218,316.60x = 27,869,213,194.02
  5. Step 5: Solve for x
    x = 27,869,213,194.02/218,316.60
  6. Step 6: Final answer
    x = 127,655.03

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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.