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Finding the Fourth Proportional to 222,210, 306,650.41 and 121,608

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Solution

The fourth proportional to 222,210, 306,650.41 and 121,608 is: 167,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,210 : 306,650.41 = 121,608 : x
  2. Step 2: Convert to fraction form
    222,210/306,650.41 = 121,608/x
  3. Step 3: Cross multiply
    222,210x = 306,650.41 × 121,608
  4. Step 4: Simplify right side
    222,210x = 37,291,142,755.26
  5. Step 5: Solve for x
    x = 37,291,142,755.26/222,210
  6. Step 6: Final answer
    x = 167,819.37

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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.