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Finding the Fourth Proportional to 204,919.92, 307,368.72 and 78,620.76

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Solution

The fourth proportional to 204,919.92, 307,368.72 and 78,620.76 is: 117,926.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,919.92 : 307,368.72 = 78,620.76 : x
  2. Step 2: Convert to fraction form
    204,919.92/307,368.72 = 78,620.76/x
  3. Step 3: Cross multiply
    204,919.92x = 307,368.72 × 78,620.76
  4. Step 4: Simplify right side
    204,919.92x = 24,165,562,366.63
  5. Step 5: Solve for x
    x = 24,165,562,366.63/204,919.92
  6. Step 6: Final answer
    x = 117,926.86

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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.