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Finding the Fourth Proportional to 217,285.73, 325,914.60 and 75,127.13

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Solution

The fourth proportional to 217,285.73, 325,914.60 and 75,127.13 is: 112,685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,285.73 : 325,914.60 = 75,127.13 : x
  2. Step 2: Convert to fraction form
    217,285.73/325,914.60 = 75,127.13/x
  3. Step 3: Cross multiply
    217,285.73x = 325,914.60 × 75,127.13
  4. Step 4: Simplify right side
    217,285.73x = 24,485,028,523.10
  5. Step 5: Solve for x
    x = 24,485,028,523.10/217,285.73
  6. Step 6: Final answer
    x = 112,685.86

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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.