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Finding the Fourth Proportional to 204,357.66, 306,532.91 and 91,958.32

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Solution

The fourth proportional to 204,357.66, 306,532.91 and 91,958.32 is: 137,935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,357.66 : 306,532.91 = 91,958.32 : x
  2. Step 2: Convert to fraction form
    204,357.66/306,532.91 = 91,958.32/x
  3. Step 3: Cross multiply
    204,357.66x = 306,532.91 × 91,958.32
  4. Step 4: Simplify right side
    204,357.66x = 28,188,250,968.52
  5. Step 5: Solve for x
    x = 28,188,250,968.52/204,357.66
  6. Step 6: Final answer
    x = 137,935.87

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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.