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Finding the Fourth Proportional to 123,890.80, 185,843.24 and 35,137.28

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Solution

The fourth proportional to 123,890.80, 185,843.24 and 35,137.28 is: 52,707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,890.80 : 185,843.24 = 35,137.28 : x
  2. Step 2: Convert to fraction form
    123,890.80/185,843.24 = 35,137.28/x
  3. Step 3: Cross multiply
    123,890.80x = 185,843.24 × 35,137.28
  4. Step 4: Simplify right side
    123,890.80x = 6,530,025,959.99
  5. Step 5: Solve for x
    x = 6,530,025,959.99/123,890.80
  6. Step 6: Final answer
    x = 52,707.92

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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.