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Finding the Fourth Proportional to 139,882.20, 192,961.62 and 83,282.64

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Solution

The fourth proportional to 139,882.20, 192,961.62 and 83,282.64 is: 114,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,882.20 : 192,961.62 = 83,282.64 : x
  2. Step 2: Convert to fraction form
    139,882.20/192,961.62 = 83,282.64/x
  3. Step 3: Cross multiply
    139,882.20x = 192,961.62 × 83,282.64
  4. Step 4: Simplify right side
    139,882.20x = 16,070,353,132.28
  5. Step 5: Solve for x
    x = 16,070,353,132.28/139,882.20
  6. Step 6: Final answer
    x = 114,884.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.