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Finding the Fourth Proportional to 100,369.14, 150,561 and 30,253.92

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Solution

The fourth proportional to 100,369.14, 150,561 and 30,253.92 is: 45,383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,369.14 : 150,561 = 30,253.92 : x
  2. Step 2: Convert to fraction form
    100,369.14/150,561 = 30,253.92/x
  3. Step 3: Cross multiply
    100,369.14x = 150,561 × 30,253.92
  4. Step 4: Simplify right side
    100,369.14x = 4,555,060,449.12
  5. Step 5: Solve for x
    x = 4,555,060,449.12/100,369.14
  6. Step 6: Final answer
    x = 45,383.08

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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.