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Finding the Fourth Proportional to 78,335.92, 117,523.86 and 25,745.86

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Solution

The fourth proportional to 78,335.92, 117,523.86 and 25,745.86 is: 38,625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,335.92 : 117,523.86 = 25,745.86 : x
  2. Step 2: Convert to fraction form
    78,335.92/117,523.86 = 25,745.86/x
  3. Step 3: Cross multiply
    78,335.92x = 117,523.86 × 25,745.86
  4. Step 4: Simplify right side
    78,335.92x = 3,025,752,846.22
  5. Step 5: Solve for x
    x = 3,025,752,846.22/78,335.92
  6. Step 6: Final answer
    x = 38,625.36

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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.