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Finding the Fourth Proportional to 222,469.84, 307,016.04 and 121,867.84

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Solution

The fourth proportional to 222,469.84, 307,016.04 and 121,867.84 is: 168,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,469.84 : 307,016.04 = 121,867.84 : x
  2. Step 2: Convert to fraction form
    222,469.84/307,016.04 = 121,867.84/x
  3. Step 3: Cross multiply
    222,469.84x = 307,016.04 × 121,867.84
  4. Step 4: Simplify right side
    222,469.84x = 37,415,381,640.15
  5. Step 5: Solve for x
    x = 37,415,381,640.15/222,469.84
  6. Step 6: Final answer
    x = 168,181.82

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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.