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Finding the Fourth Proportional to 150,170.96, 225,796.51 and 138,467.78

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Solution

The fourth proportional to 150,170.96, 225,796.51 and 138,467.78 is: 208,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,170.96 : 225,796.51 = 138,467.78 : x
  2. Step 2: Convert to fraction form
    150,170.96/225,796.51 = 138,467.78/x
  3. Step 3: Cross multiply
    150,170.96x = 225,796.51 × 138,467.78
  4. Step 4: Simplify right side
    150,170.96x = 31,265,541,362.29
  5. Step 5: Solve for x
    x = 31,265,541,362.29/150,170.96
  6. Step 6: Final answer
    x = 208,199.65

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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.