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Finding the Fourth Proportional to 223,174.49, 307,978.92 and 121,202.60

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Solution

The fourth proportional to 223,174.49, 307,978.92 and 121,202.60 is: 167,258.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,174.49 : 307,978.92 = 121,202.60 : x
  2. Step 2: Convert to fraction form
    223,174.49/307,978.92 = 121,202.60/x
  3. Step 3: Cross multiply
    223,174.49x = 307,978.92 × 121,202.60
  4. Step 4: Simplify right side
    223,174.49x = 37,327,844,309.30
  5. Step 5: Solve for x
    x = 37,327,844,309.30/223,174.49
  6. Step 6: Final answer
    x = 167,258.57

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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.