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Finding the Fourth Proportional to 150,171.22, 225,019.71 and 121,953.97

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Solution

The fourth proportional to 150,171.22, 225,019.71 and 121,953.97 is: 182,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,171.22 : 225,019.71 = 121,953.97 : x
  2. Step 2: Convert to fraction form
    150,171.22/225,019.71 = 121,953.97/x
  3. Step 3: Cross multiply
    150,171.22x = 225,019.71 × 121,953.97
  4. Step 4: Simplify right side
    150,171.22x = 27,442,046,962.75
  5. Step 5: Solve for x
    x = 27,442,046,962.75/150,171.22
  6. Step 6: Final answer
    x = 182,738.39

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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.