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Finding the Fourth Proportional to 150,378, 225,567 and 45,197.07

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Solution

The fourth proportional to 150,378, 225,567 and 45,197.07 is: 67,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,378 : 225,567 = 45,197.07 : x
  2. Step 2: Convert to fraction form
    150,378/225,567 = 45,197.07/x
  3. Step 3: Cross multiply
    150,378x = 225,567 × 45,197.07
  4. Step 4: Simplify right side
    150,378x = 10,194,967,488.69
  5. Step 5: Solve for x
    x = 10,194,967,488.69/150,378
  6. Step 6: Final answer
    x = 67,795.61

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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.