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Finding the Fourth Proportional to 206,709.52, 285,216.24 and 135,194.64

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Solution

The fourth proportional to 206,709.52, 285,216.24 and 135,194.64 is: 186,540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,709.52 : 285,216.24 = 135,194.64 : x
  2. Step 2: Convert to fraction form
    206,709.52/285,216.24 = 135,194.64/x
  3. Step 3: Cross multiply
    206,709.52x = 285,216.24 × 135,194.64
  4. Step 4: Simplify right side
    206,709.52x = 38,559,706,888.95
  5. Step 5: Solve for x
    x = 38,559,706,888.95/206,709.52
  6. Step 6: Final answer
    x = 186,540.55

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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.