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Finding the Fourth Proportional to 222,182, 306,611.20 and 121,580

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Solution

The fourth proportional to 222,182, 306,611.20 and 121,580 is: 167,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,182 : 306,611.20 = 121,580 : x
  2. Step 2: Convert to fraction form
    222,182/306,611.20 = 121,580/x
  3. Step 3: Cross multiply
    222,182x = 306,611.20 × 121,580
  4. Step 4: Simplify right side
    222,182x = 37,277,789,696
  5. Step 5: Solve for x
    x = 37,277,789,696/222,182
  6. Step 6: Final answer
    x = 167,780.42

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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.