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Finding the Fourth Proportional to 185,819.86, 278,729.79 and 80,636.50

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Solution

The fourth proportional to 185,819.86, 278,729.79 and 80,636.50 is: 120,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,819.86 : 278,729.79 = 80,636.50 : x
  2. Step 2: Convert to fraction form
    185,819.86/278,729.79 = 80,636.50/x
  3. Step 3: Cross multiply
    185,819.86x = 278,729.79 × 80,636.50
  4. Step 4: Simplify right side
    185,819.86x = 22,475,794,711.34
  5. Step 5: Solve for x
    x = 22,475,794,711.34/185,819.86
  6. Step 6: Final answer
    x = 120,954.75

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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.