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Finding the Fourth Proportional to 150,252, 225,455.76 and 76,380

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Solution

The fourth proportional to 150,252, 225,455.76 and 76,380 is: 114,609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,252 : 225,455.76 = 76,380 : x
  2. Step 2: Convert to fraction form
    150,252/225,455.76 = 76,380/x
  3. Step 3: Cross multiply
    150,252x = 225,455.76 × 76,380
  4. Step 4: Simplify right side
    150,252x = 17,220,310,948.80
  5. Step 5: Solve for x
    x = 17,220,310,948.80/150,252
  6. Step 6: Final answer
    x = 114,609.53

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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.