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Finding the Fourth Proportional to 222,406.26, 306,920.80 and 120,432.52

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Solution

The fourth proportional to 222,406.26, 306,920.80 and 120,432.52 is: 166,196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,406.26 : 306,920.80 = 120,432.52 : x
  2. Step 2: Convert to fraction form
    222,406.26/306,920.80 = 120,432.52/x
  3. Step 3: Cross multiply
    222,406.26x = 306,920.80 × 120,432.52
  4. Step 4: Simplify right side
    222,406.26x = 36,963,245,241.17
  5. Step 5: Solve for x
    x = 36,963,245,241.17/222,406.26
  6. Step 6: Final answer
    x = 166,196.97

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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.