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Finding the Fourth Proportional to 150,276, 225,491.76 and 76,404

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Solution

The fourth proportional to 150,276, 225,491.76 and 76,404 is: 114,645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,276 : 225,491.76 = 76,404 : x
  2. Step 2: Convert to fraction form
    150,276/225,491.76 = 76,404/x
  3. Step 3: Cross multiply
    150,276x = 225,491.76 × 76,404
  4. Step 4: Simplify right side
    150,276x = 17,228,472,431.04
  5. Step 5: Solve for x
    x = 17,228,472,431.04/150,276
  6. Step 6: Final answer
    x = 114,645.54

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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.