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Finding the Fourth Proportional to 100,560.72, 150,866 and 30,440.22

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Solution

The fourth proportional to 100,560.72, 150,866 and 30,440.22 is: 45,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,560.72 : 150,866 = 30,440.22 : x
  2. Step 2: Convert to fraction form
    100,560.72/150,866 = 30,440.22/x
  3. Step 3: Cross multiply
    100,560.72x = 150,866 × 30,440.22
  4. Step 4: Simplify right side
    100,560.72x = 4,592,394,230.52
  5. Step 5: Solve for x
    x = 4,592,394,230.52/100,560.72
  6. Step 6: Final answer
    x = 45,667.87

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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.