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Finding the Fourth Proportional to 204,833.70, 307,039.32 and 78,439.38

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Solution

The fourth proportional to 204,833.70, 307,039.32 and 78,439.38 is: 117,578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,833.70 : 307,039.32 = 78,439.38 : x
  2. Step 2: Convert to fraction form
    204,833.70/307,039.32 = 78,439.38/x
  3. Step 3: Cross multiply
    204,833.70x = 307,039.32 × 78,439.38
  4. Step 4: Simplify right side
    204,833.70x = 24,083,973,896.42
  5. Step 5: Solve for x
    x = 24,083,973,896.42/204,833.70
  6. Step 6: Final answer
    x = 117,578.18

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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.