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Finding the Fourth Proportional to 218,354.41, 327,336.82 and 85,203.70

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Solution

The fourth proportional to 218,354.41, 327,336.82 and 85,203.70 is: 127,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,354.41 : 327,336.82 = 85,203.70 : x
  2. Step 2: Convert to fraction form
    218,354.41/327,336.82 = 85,203.70/x
  3. Step 3: Cross multiply
    218,354.41x = 327,336.82 × 85,203.70
  4. Step 4: Simplify right side
    218,354.41x = 27,890,308,210.23
  5. Step 5: Solve for x
    x = 27,890,308,210.23/218,354.41
  6. Step 6: Final answer
    x = 127,729.54

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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.