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Finding the Fourth Proportional to 150,660, 207,902.70 and 82,675.89

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Solution

The fourth proportional to 150,660, 207,902.70 and 82,675.89 is: 114,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,660 : 207,902.70 = 82,675.89 : x
  2. Step 2: Convert to fraction form
    150,660/207,902.70 = 82,675.89/x
  3. Step 3: Cross multiply
    150,660x = 207,902.70 × 82,675.89
  4. Step 4: Simplify right side
    150,660x = 17,188,540,755.90
  5. Step 5: Solve for x
    x = 17,188,540,755.90/150,660
  6. Step 6: Final answer
    x = 114,088.28

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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.