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Finding the Fourth Proportional to 103,794, 155,286.24 and 78,906

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Solution

The fourth proportional to 103,794, 155,286.24 and 78,906 is: 118,051.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,794 : 155,286.24 = 78,906 : x
  2. Step 2: Convert to fraction form
    103,794/155,286.24 = 78,906/x
  3. Step 3: Cross multiply
    103,794x = 155,286.24 × 78,906
  4. Step 4: Simplify right side
    103,794x = 12,253,016,053.44
  5. Step 5: Solve for x
    x = 12,253,016,053.44/103,794
  6. Step 6: Final answer
    x = 118,051.29

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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.