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Finding the Fourth Proportional to 150,344, 207,474.72 and 90,728

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Solution

The fourth proportional to 150,344, 207,474.72 and 90,728 is: 125,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,344 : 207,474.72 = 90,728 : x
  2. Step 2: Convert to fraction form
    150,344/207,474.72 = 90,728/x
  3. Step 3: Cross multiply
    150,344x = 207,474.72 × 90,728
  4. Step 4: Simplify right side
    150,344x = 18,823,766,396.16
  5. Step 5: Solve for x
    x = 18,823,766,396.16/150,344
  6. Step 6: Final answer
    x = 125,204.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.