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Finding the Fourth Proportional to 220,933, 304,887.54 and 120,331

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Solution

The fourth proportional to 220,933, 304,887.54 and 120,331 is: 166,056.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,933 : 304,887.54 = 120,331 : x
  2. Step 2: Convert to fraction form
    220,933/304,887.54 = 120,331/x
  3. Step 3: Cross multiply
    220,933x = 304,887.54 × 120,331
  4. Step 4: Simplify right side
    220,933x = 36,687,422,575.74
  5. Step 5: Solve for x
    x = 36,687,422,575.74/220,933
  6. Step 6: Final answer
    x = 166,056.78

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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.