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Finding the Fourth Proportional to 222,168, 306,591.84 and 121,566

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Solution

The fourth proportional to 222,168, 306,591.84 and 121,566 is: 167,761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,168 : 306,591.84 = 121,566 : x
  2. Step 2: Convert to fraction form
    222,168/306,591.84 = 121,566/x
  3. Step 3: Cross multiply
    222,168x = 306,591.84 × 121,566
  4. Step 4: Simplify right side
    222,168x = 37,271,143,621.44
  5. Step 5: Solve for x
    x = 37,271,143,621.44/222,168
  6. Step 6: Final answer
    x = 167,761.08

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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.