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Finding the Fourth Proportional to 218,584, 327,657.12 and 85,280.86

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Solution

The fourth proportional to 218,584, 327,657.12 and 85,280.86 is: 127,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,584 : 327,657.12 = 85,280.86 : x
  2. Step 2: Convert to fraction form
    218,584/327,657.12 = 85,280.86/x
  3. Step 3: Cross multiply
    218,584x = 327,657.12 × 85,280.86
  4. Step 4: Simplify right side
    218,584x = 27,942,880,978.72
  5. Step 5: Solve for x
    x = 27,942,880,978.72/218,584
  6. Step 6: Final answer
    x = 127,835.89

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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.