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Finding the Fourth Proportional to 77,778.33, 116,691.71 and 27,858.86

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Solution

The fourth proportional to 77,778.33, 116,691.71 and 27,858.86 is: 41,796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,778.33 : 116,691.71 = 27,858.86 : x
  2. Step 2: Convert to fraction form
    77,778.33/116,691.71 = 27,858.86/x
  3. Step 3: Cross multiply
    77,778.33x = 116,691.71 × 27,858.86
  4. Step 4: Simplify right side
    77,778.33x = 3,250,897,289.30
  5. Step 5: Solve for x
    x = 3,250,897,289.30/77,778.33
  6. Step 6: Final answer
    x = 41,796.95

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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.