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Finding the Fourth Proportional to 123,563.20, 185,344.80 and 81,499.90

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Solution

The fourth proportional to 123,563.20, 185,344.80 and 81,499.90 is: 122,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,563.20 : 185,344.80 = 81,499.90 : x
  2. Step 2: Convert to fraction form
    123,563.20/185,344.80 = 81,499.90/x
  3. Step 3: Cross multiply
    123,563.20x = 185,344.80 × 81,499.90
  4. Step 4: Simplify right side
    123,563.20x = 15,105,582,665.52
  5. Step 5: Solve for x
    x = 15,105,582,665.52/123,563.20
  6. Step 6: Final answer
    x = 122,249.85

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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.