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Finding the Fourth Proportional to 250,114, 345,190.26 and 142,659.40

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Solution

The fourth proportional to 250,114, 345,190.26 and 142,659.40 is: 196,888.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,114 : 345,190.26 = 142,659.40 : x
  2. Step 2: Convert to fraction form
    250,114/345,190.26 = 142,659.40/x
  3. Step 3: Cross multiply
    250,114x = 345,190.26 × 142,659.40
  4. Step 4: Simplify right side
    250,114x = 49,244,635,377.44
  5. Step 5: Solve for x
    x = 49,244,635,377.44/250,114
  6. Step 6: Final answer
    x = 196,888.76

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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.