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Finding the Fourth Proportional to 250,122, 345,201.32 and 142,667.44

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Solution

The fourth proportional to 250,122, 345,201.32 and 142,667.44 is: 196,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,122 : 345,201.32 = 142,667.44 : x
  2. Step 2: Convert to fraction form
    250,122/345,201.32 = 142,667.44/x
  3. Step 3: Cross multiply
    250,122x = 345,201.32 × 142,667.44
  4. Step 4: Simplify right side
    250,122x = 49,248,988,609.02
  5. Step 5: Solve for x
    x = 49,248,988,609.02/250,122
  6. Step 6: Final answer
    x = 196,899.87

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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.