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Finding the Fourth Proportional to 100,082.88, 150,182.64 and 40,909.68

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Solution

The fourth proportional to 100,082.88, 150,182.64 and 40,909.68 is: 61,388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,082.88 : 150,182.64 = 40,909.68 : x
  2. Step 2: Convert to fraction form
    100,082.88/150,182.64 = 40,909.68/x
  3. Step 3: Cross multiply
    100,082.88x = 150,182.64 × 40,909.68
  4. Step 4: Simplify right side
    100,082.88x = 6,143,923,743.96
  5. Step 5: Solve for x
    x = 6,143,923,743.96/100,082.88
  6. Step 6: Final answer
    x = 61,388.36

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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.