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Finding the Fourth Proportional to 204,980.87, 307,566.27 and 78,578.88

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Solution

The fourth proportional to 204,980.87, 307,566.27 and 78,578.88 is: 117,904.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,980.87 : 307,566.27 = 78,578.88 : x
  2. Step 2: Convert to fraction form
    204,980.87/307,566.27 = 78,578.88/x
  3. Step 3: Cross multiply
    204,980.87x = 307,566.27 × 78,578.88
  4. Step 4: Simplify right side
    204,980.87x = 24,168,213,022.38
  5. Step 5: Solve for x
    x = 24,168,213,022.38/204,980.87
  6. Step 6: Final answer
    x = 117,904.73

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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.