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Finding the Fourth Proportional to 218,429.60, 327,644.40 and 85,314.20

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Solution

The fourth proportional to 218,429.60, 327,644.40 and 85,314.20 is: 127,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,429.60 : 327,644.40 = 85,314.20 : x
  2. Step 2: Convert to fraction form
    218,429.60/327,644.40 = 85,314.20/x
  3. Step 3: Cross multiply
    218,429.60x = 327,644.40 × 85,314.20
  4. Step 4: Simplify right side
    218,429.60x = 27,952,719,870.48
  5. Step 5: Solve for x
    x = 27,952,719,870.48/218,429.60
  6. Step 6: Final answer
    x = 127,971.30

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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.