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Finding the Fourth Proportional to 222,408.96, 306,912.64 and 121,804.80

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Solution

The fourth proportional to 222,408.96, 306,912.64 and 121,804.80 is: 168,084.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,408.96 : 306,912.64 = 121,804.80 : x
  2. Step 2: Convert to fraction form
    222,408.96/306,912.64 = 121,804.80/x
  3. Step 3: Cross multiply
    222,408.96x = 306,912.64 × 121,804.80
  4. Step 4: Simplify right side
    222,408.96x = 37,383,432,732.67
  5. Step 5: Solve for x
    x = 37,383,432,732.67/222,408.96
  6. Step 6: Final answer
    x = 168,084.20

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1.5x scale

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.