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Finding the Fourth Proportional to 149,321.92, 206,064.20 and 82,253.92

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Solution

The fourth proportional to 149,321.92, 206,064.20 and 82,253.92 is: 113,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,321.92 : 206,064.20 = 82,253.92 : x
  2. Step 2: Convert to fraction form
    149,321.92/206,064.20 = 82,253.92/x
  3. Step 3: Cross multiply
    149,321.92x = 206,064.20 × 82,253.92
  4. Step 4: Simplify right side
    149,321.92x = 16,949,588,221.66
  5. Step 5: Solve for x
    x = 16,949,588,221.66/149,321.92
  6. Step 6: Final answer
    x = 113,510.38

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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.