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Finding the Fourth Proportional to 78,309.75, 108,067.59 and 44,775.75

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Solution

The fourth proportional to 78,309.75, 108,067.59 and 44,775.75 is: 61,790.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,309.75 : 108,067.59 = 44,775.75 : x
  2. Step 2: Convert to fraction form
    78,309.75/108,067.59 = 44,775.75/x
  3. Step 3: Cross multiply
    78,309.75x = 108,067.59 × 44,775.75
  4. Step 4: Simplify right side
    78,309.75x = 4,838,807,392.94
  5. Step 5: Solve for x
    x = 4,838,807,392.94/78,309.75
  6. Step 6: Final answer
    x = 61,790.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.