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Finding the Fourth Proportional to 222,418.25, 306,938.63 and 120,443.71

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Solution

The fourth proportional to 222,418.25, 306,938.63 and 120,443.71 is: 166,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,418.25 : 306,938.63 = 120,443.71 : x
  2. Step 2: Convert to fraction form
    222,418.25/306,938.63 = 120,443.71/x
  3. Step 3: Cross multiply
    222,418.25x = 306,938.63 × 120,443.71
  4. Step 4: Simplify right side
    222,418.25x = 36,968,827,448.79
  5. Step 5: Solve for x
    x = 36,968,827,448.79/222,418.25
  6. Step 6: Final answer
    x = 166,213.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.