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Finding the Fourth Proportional to 206,964.50, 285,611.37 and 117,540.50

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Solution

The fourth proportional to 206,964.50, 285,611.37 and 117,540.50 is: 162,206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,964.50 : 285,611.37 = 117,540.50 : x
  2. Step 2: Convert to fraction form
    206,964.50/285,611.37 = 117,540.50/x
  3. Step 3: Cross multiply
    206,964.50x = 285,611.37 × 117,540.50
  4. Step 4: Simplify right side
    206,964.50x = 33,570,903,235.49
  5. Step 5: Solve for x
    x = 33,570,903,235.49/206,964.50
  6. Step 6: Final answer
    x = 162,206.09

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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.