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Finding the Fourth Proportional to 206,860.56, 285,498.44 and 126,334.40

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Solution

The fourth proportional to 206,860.56, 285,498.44 and 126,334.40 is: 174,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,860.56 : 285,498.44 = 126,334.40 : x
  2. Step 2: Convert to fraction form
    206,860.56/285,498.44 = 126,334.40/x
  3. Step 3: Cross multiply
    206,860.56x = 285,498.44 × 126,334.40
  4. Step 4: Simplify right side
    206,860.56x = 36,068,274,118.34
  5. Step 5: Solve for x
    x = 36,068,274,118.34/206,860.56
  6. Step 6: Final answer
    x = 174,360.32

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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.