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Finding the Fourth Proportional to 149,727.78, 206,624.46 and 82,659.78

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Solution

The fourth proportional to 149,727.78, 206,624.46 and 82,659.78 is: 114,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,727.78 : 206,624.46 = 82,659.78 : x
  2. Step 2: Convert to fraction form
    149,727.78/206,624.46 = 82,659.78/x
  3. Step 3: Cross multiply
    149,727.78x = 206,624.46 × 82,659.78
  4. Step 4: Simplify right side
    149,727.78x = 17,079,532,406.22
  5. Step 5: Solve for x
    x = 17,079,532,406.22/149,727.78
  6. Step 6: Final answer
    x = 114,070.56

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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.