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Finding the Fourth Proportional to 79,983.76, 119,980 and 20,819.60

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Solution

The fourth proportional to 79,983.76, 119,980 and 20,819.60 is: 31,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,983.76 : 119,980 = 20,819.60 : x
  2. Step 2: Convert to fraction form
    79,983.76/119,980 = 20,819.60/x
  3. Step 3: Cross multiply
    79,983.76x = 119,980 × 20,819.60
  4. Step 4: Simplify right side
    79,983.76x = 2,497,935,608
  5. Step 5: Solve for x
    x = 2,497,935,608/79,983.76
  6. Step 6: Final answer
    x = 31,230.53

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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.