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Finding the Fourth Proportional to 281,958.64, 389,123.52 and 161,097.34

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Solution

The fourth proportional to 281,958.64, 389,123.52 and 161,097.34 is: 222,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,958.64 : 389,123.52 = 161,097.34 : x
  2. Step 2: Convert to fraction form
    281,958.64/389,123.52 = 161,097.34/x
  3. Step 3: Cross multiply
    281,958.64x = 389,123.52 × 161,097.34
  4. Step 4: Simplify right side
    281,958.64x = 62,686,764,003.44
  5. Step 5: Solve for x
    x = 62,686,764,003.44/281,958.64
  6. Step 6: Final answer
    x = 222,326.10

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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.