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Finding the Fourth Proportional to 218,601.60, 327,837.60 and 85,405.20

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Solution

The fourth proportional to 218,601.60, 327,837.60 and 85,405.20 is: 128,082.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,601.60 : 327,837.60 = 85,405.20 : x
  2. Step 2: Convert to fraction form
    218,601.60/327,837.60 = 85,405.20/x
  3. Step 3: Cross multiply
    218,601.60x = 327,837.60 × 85,405.20
  4. Step 4: Simplify right side
    218,601.60x = 27,999,035,795.52
  5. Step 5: Solve for x
    x = 27,999,035,795.52/218,601.60
  6. Step 6: Final answer
    x = 128,082.48

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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.