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Finding the Fourth Proportional to 222,365.70, 306,864.87 and 120,391.23

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Solution

The fourth proportional to 222,365.70, 306,864.87 and 120,391.23 is: 166,140.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,365.70 : 306,864.87 = 120,391.23 : x
  2. Step 2: Convert to fraction form
    222,365.70/306,864.87 = 120,391.23/x
  3. Step 3: Cross multiply
    222,365.70x = 306,864.87 × 120,391.23
  4. Step 4: Simplify right side
    222,365.70x = 36,943,839,143.09
  5. Step 5: Solve for x
    x = 36,943,839,143.09/222,365.70
  6. Step 6: Final answer
    x = 166,140.01

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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.