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Finding the Fourth Proportional to 206,156.37, 308,942.96 and 87,708.45

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Solution

The fourth proportional to 206,156.37, 308,942.96 and 87,708.45 is: 131,438.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,156.37 : 308,942.96 = 87,708.45 : x
  2. Step 2: Convert to fraction form
    206,156.37/308,942.96 = 87,708.45/x
  3. Step 3: Cross multiply
    206,156.37x = 308,942.96 × 87,708.45
  4. Step 4: Simplify right side
    206,156.37x = 27,096,907,721.47
  5. Step 5: Solve for x
    x = 27,096,907,721.47/206,156.37
  6. Step 6: Final answer
    x = 131,438.61

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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.