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Finding the Fourth Proportional to 222,293.50, 306,765.03 and 121,691.50

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Solution

The fourth proportional to 222,293.50, 306,765.03 and 121,691.50 is: 167,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,293.50 : 306,765.03 = 121,691.50 : x
  2. Step 2: Convert to fraction form
    222,293.50/306,765.03 = 121,691.50/x
  3. Step 3: Cross multiply
    222,293.50x = 306,765.03 × 121,691.50
  4. Step 4: Simplify right side
    222,293.50x = 37,330,696,648.25
  5. Step 5: Solve for x
    x = 37,330,696,648.25/222,293.50
  6. Step 6: Final answer
    x = 167,934.27

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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.