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Finding the Fourth Proportional to 222,293, 306,764.34 and 121,691

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Solution

The fourth proportional to 222,293, 306,764.34 and 121,691 is: 167,933.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,293 : 306,764.34 = 121,691 : x
  2. Step 2: Convert to fraction form
    222,293/306,764.34 = 121,691/x
  3. Step 3: Cross multiply
    222,293x = 306,764.34 × 121,691
  4. Step 4: Simplify right side
    222,293x = 37,330,459,298.94
  5. Step 5: Solve for x
    x = 37,330,459,298.94/222,293
  6. Step 6: Final answer
    x = 167,933.58

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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.