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Finding the Fourth Proportional to 150,631, 225,728.50 and 83,176.28

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Solution

The fourth proportional to 150,631, 225,728.50 and 83,176.28 is: 124,644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,631 : 225,728.50 = 83,176.28 : x
  2. Step 2: Convert to fraction form
    150,631/225,728.50 = 83,176.28/x
  3. Step 3: Cross multiply
    150,631x = 225,728.50 × 83,176.28
  4. Step 4: Simplify right side
    150,631x = 18,775,256,919.98
  5. Step 5: Solve for x
    x = 18,775,256,919.98/150,631
  6. Step 6: Final answer
    x = 124,644.04

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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.