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Finding the Fourth Proportional to 281,972.54, 389,150.53 and 161,131.68

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Solution

The fourth proportional to 281,972.54, 389,150.53 and 161,131.68 is: 222,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,972.54 : 389,150.53 = 161,131.68 : x
  2. Step 2: Convert to fraction form
    281,972.54/389,150.53 = 161,131.68/x
  3. Step 3: Cross multiply
    281,972.54x = 389,150.53 × 161,131.68
  4. Step 4: Simplify right side
    281,972.54x = 62,704,478,268.96
  5. Step 5: Solve for x
    x = 62,704,478,268.96/281,972.54
  6. Step 6: Final answer
    x = 222,377.96

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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.