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Finding the Fourth Proportional to 101,977.92, 140,690.20 and 75,184.12

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Solution

The fourth proportional to 101,977.92, 140,690.20 and 75,184.12 is: 103,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,977.92 : 140,690.20 = 75,184.12 : x
  2. Step 2: Convert to fraction form
    101,977.92/140,690.20 = 75,184.12/x
  3. Step 3: Cross multiply
    101,977.92x = 140,690.20 × 75,184.12
  4. Step 4: Simplify right side
    101,977.92x = 10,577,668,879.62
  5. Step 5: Solve for x
    x = 10,577,668,879.62/101,977.92
  6. Step 6: Final answer
    x = 103,725.09

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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.