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Finding the Fourth Proportional to 222,386.25, 306,891.72 and 120,409.61

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Solution

The fourth proportional to 222,386.25, 306,891.72 and 120,409.61 is: 166,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,386.25 : 306,891.72 = 120,409.61 : x
  2. Step 2: Convert to fraction form
    222,386.25/306,891.72 = 120,409.61/x
  3. Step 3: Cross multiply
    222,386.25x = 306,891.72 × 120,409.61
  4. Step 4: Simplify right side
    222,386.25x = 36,952,712,317.43
  5. Step 5: Solve for x
    x = 36,952,712,317.43/222,386.25
  6. Step 6: Final answer
    x = 166,164.56

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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.