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Finding the Fourth Proportional to 150,634.78, 207,868.97 and 82,650.22

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Solution

The fourth proportional to 150,634.78, 207,868.97 and 82,650.22 is: 114,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,634.78 : 207,868.97 = 82,650.22 : x
  2. Step 2: Convert to fraction form
    150,634.78/207,868.97 = 82,650.22/x
  3. Step 3: Cross multiply
    150,634.78x = 207,868.97 × 82,650.22
  4. Step 4: Simplify right side
    150,634.78x = 17,180,416,101.67
  5. Step 5: Solve for x
    x = 17,180,416,101.67/150,634.78
  6. Step 6: Final answer
    x = 114,053.45

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1.5x scale

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.