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Finding the Fourth Proportional to 139,062.20, 208,593.30 and 75,857.90

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Solution

The fourth proportional to 139,062.20, 208,593.30 and 75,857.90 is: 113,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,062.20 : 208,593.30 = 75,857.90 : x
  2. Step 2: Convert to fraction form
    139,062.20/208,593.30 = 75,857.90/x
  3. Step 3: Cross multiply
    139,062.20x = 208,593.30 × 75,857.90
  4. Step 4: Simplify right side
    139,062.20x = 15,823,449,692.07
  5. Step 5: Solve for x
    x = 15,823,449,692.07/139,062.20
  6. Step 6: Final answer
    x = 113,786.85

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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.