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Finding the Fourth Proportional to 223,361.82, 308,240.31 and 122,766.30

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Solution

The fourth proportional to 223,361.82, 308,240.31 and 122,766.30 is: 169,418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,361.82 : 308,240.31 = 122,766.30 : x
  2. Step 2: Convert to fraction form
    223,361.82/308,240.31 = 122,766.30/x
  3. Step 3: Cross multiply
    223,361.82x = 308,240.31 × 122,766.30
  4. Step 4: Simplify right side
    223,361.82x = 37,841,522,369.55
  5. Step 5: Solve for x
    x = 37,841,522,369.55/223,361.82
  6. Step 6: Final answer
    x = 169,418.04

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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.