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Finding the Fourth Proportional to 83,906.45, 125,712.04 and 78,911.92

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Solution

The fourth proportional to 83,906.45, 125,712.04 and 78,911.92 is: 118,229.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,906.45 : 125,712.04 = 78,911.92 : x
  2. Step 2: Convert to fraction form
    83,906.45/125,712.04 = 78,911.92/x
  3. Step 3: Cross multiply
    83,906.45x = 125,712.04 × 78,911.92
  4. Step 4: Simplify right side
    83,906.45x = 9,920,178,443.52
  5. Step 5: Solve for x
    x = 9,920,178,443.52/83,906.45
  6. Step 6: Final answer
    x = 118,229.03

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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.