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Finding the Fourth Proportional to 206,910.56, 285,536.88 and 117,486.56

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Solution

The fourth proportional to 206,910.56, 285,536.88 and 117,486.56 is: 162,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,910.56 : 285,536.88 = 117,486.56 : x
  2. Step 2: Convert to fraction form
    206,910.56/285,536.88 = 117,486.56/x
  3. Step 3: Cross multiply
    206,910.56x = 285,536.88 × 117,486.56
  4. Step 4: Simplify right side
    206,910.56x = 33,546,745,784.33
  5. Step 5: Solve for x
    x = 33,546,745,784.33/206,910.56
  6. Step 6: Final answer
    x = 162,131.63

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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.