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Finding the Fourth Proportional to 206,847.81, 285,480.86 and 126,321.66

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Solution

The fourth proportional to 206,847.81, 285,480.86 and 126,321.66 is: 174,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,847.81 : 285,480.86 = 126,321.66 : x
  2. Step 2: Convert to fraction form
    206,847.81/285,480.86 = 126,321.66/x
  3. Step 3: Cross multiply
    206,847.81x = 285,480.86 × 126,321.66
  4. Step 4: Simplify right side
    206,847.81x = 36,062,415,501.82
  5. Step 5: Solve for x
    x = 36,062,415,501.82/206,847.81
  6. Step 6: Final answer
    x = 174,342.75

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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.