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Finding the Fourth Proportional to 221,502, 305,679.36 and 120,906.48

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Solution

The fourth proportional to 221,502, 305,679.36 and 120,906.48 is: 166,854.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,502 : 305,679.36 = 120,906.48 : x
  2. Step 2: Convert to fraction form
    221,502/305,679.36 = 120,906.48/x
  3. Step 3: Cross multiply
    221,502x = 305,679.36 × 120,906.48
  4. Step 4: Simplify right side
    221,502x = 36,958,615,426.25
  5. Step 5: Solve for x
    x = 36,958,615,426.25/221,502
  6. Step 6: Final answer
    x = 166,854.54

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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.