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Finding the Fourth Proportional to 77,879.57, 116,829.07 and 30,488.54

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Solution

The fourth proportional to 77,879.57, 116,829.07 and 30,488.54 is: 45,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,879.57 : 116,829.07 = 30,488.54 : x
  2. Step 2: Convert to fraction form
    77,879.57/116,829.07 = 30,488.54/x
  3. Step 3: Cross multiply
    77,879.57x = 116,829.07 × 30,488.54
  4. Step 4: Simplify right side
    77,879.57x = 3,561,947,773.86
  5. Step 5: Solve for x
    x = 3,561,947,773.86/77,879.57
  6. Step 6: Final answer
    x = 45,736.61

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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.