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Finding the Fourth Proportional to 206,295.72, 308,918.40 and 135,961.80

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Solution

The fourth proportional to 206,295.72, 308,918.40 and 135,961.80 is: 203,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,295.72 : 308,918.40 = 135,961.80 : x
  2. Step 2: Convert to fraction form
    206,295.72/308,918.40 = 135,961.80/x
  3. Step 3: Cross multiply
    206,295.72x = 308,918.40 × 135,961.80
  4. Step 4: Simplify right side
    206,295.72x = 42,001,101,717.12
  5. Step 5: Solve for x
    x = 42,001,101,717.12/206,295.72
  6. Step 6: Final answer
    x = 203,596.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.