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Finding the Fourth Proportional to 192,533.20, 288,819.10 and 66,156.80

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Solution

The fourth proportional to 192,533.20, 288,819.10 and 66,156.80 is: 99,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,533.20 : 288,819.10 = 66,156.80 : x
  2. Step 2: Convert to fraction form
    192,533.20/288,819.10 = 66,156.80/x
  3. Step 3: Cross multiply
    192,533.20x = 288,819.10 × 66,156.80
  4. Step 4: Simplify right side
    192,533.20x = 19,107,347,434.88
  5. Step 5: Solve for x
    x = 19,107,347,434.88/192,533.20
  6. Step 6: Final answer
    x = 99,241.83

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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.