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Finding the Fourth Proportional to 150,108, 207,149.85 and 82,125.78

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Solution

The fourth proportional to 150,108, 207,149.85 and 82,125.78 is: 113,334.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,108 : 207,149.85 = 82,125.78 : x
  2. Step 2: Convert to fraction form
    150,108/207,149.85 = 82,125.78/x
  3. Step 3: Cross multiply
    150,108x = 207,149.85 × 82,125.78
  4. Step 4: Simplify right side
    150,108x = 17,012,343,008.13
  5. Step 5: Solve for x
    x = 17,012,343,008.13/150,108
  6. Step 6: Final answer
    x = 113,334.02

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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.