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Finding the Fourth Proportional to 251,694.32, 347,185.89 and 161,018.57

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Solution

The fourth proportional to 251,694.32, 347,185.89 and 161,018.57 is: 222,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,694.32 : 347,185.89 = 161,018.57 : x
  2. Step 2: Convert to fraction form
    251,694.32/347,185.89 = 161,018.57/x
  3. Step 3: Cross multiply
    251,694.32x = 347,185.89 × 161,018.57
  4. Step 4: Simplify right side
    251,694.32x = 55,903,373,796.05
  5. Step 5: Solve for x
    x = 55,903,373,796.05/251,694.32
  6. Step 6: Final answer
    x = 222,108.21

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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.