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Finding the Fourth Proportional to 222,045, 306,422.10 and 121,443

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Solution

The fourth proportional to 222,045, 306,422.10 and 121,443 is: 167,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,045 : 306,422.10 = 121,443 : x
  2. Step 2: Convert to fraction form
    222,045/306,422.10 = 121,443/x
  3. Step 3: Cross multiply
    222,045x = 306,422.10 × 121,443
  4. Step 4: Simplify right side
    222,045x = 37,212,819,090.30
  5. Step 5: Solve for x
    x = 37,212,819,090.30/222,045
  6. Step 6: Final answer
    x = 167,591.34

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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.