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Finding the Fourth Proportional to 218,328.60, 327,508.02 and 85,164.60

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Solution

The fourth proportional to 218,328.60, 327,508.02 and 85,164.60 is: 127,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,328.60 : 327,508.02 = 85,164.60 : x
  2. Step 2: Convert to fraction form
    218,328.60/327,508.02 = 85,164.60/x
  3. Step 3: Cross multiply
    218,328.60x = 327,508.02 × 85,164.60
  4. Step 4: Simplify right side
    218,328.60x = 27,892,089,520.09
  5. Step 5: Solve for x
    x = 27,892,089,520.09/218,328.60
  6. Step 6: Final answer
    x = 127,752.80

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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.