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Finding the Fourth Proportional to 217,978.80, 327,016.80 and 84,847.20

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Solution

The fourth proportional to 217,978.80, 327,016.80 and 84,847.20 is: 127,289.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,978.80 : 327,016.80 = 84,847.20 : x
  2. Step 2: Convert to fraction form
    217,978.80/327,016.80 = 84,847.20/x
  3. Step 3: Cross multiply
    217,978.80x = 327,016.80 × 84,847.20
  4. Step 4: Simplify right side
    217,978.80x = 27,746,459,832.96
  5. Step 5: Solve for x
    x = 27,746,459,832.96/217,978.80
  6. Step 6: Final answer
    x = 127,289.72

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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.