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Finding the Fourth Proportional to 281,967.26, 389,078.96 and 161,116.37

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Solution

The fourth proportional to 281,967.26, 389,078.96 and 161,116.37 is: 222,320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,967.26 : 389,078.96 = 161,116.37 : x
  2. Step 2: Convert to fraction form
    281,967.26/389,078.96 = 161,116.37/x
  3. Step 3: Cross multiply
    281,967.26x = 389,078.96 × 161,116.37
  4. Step 4: Simplify right side
    281,967.26x = 62,686,991,054.06
  5. Step 5: Solve for x
    x = 62,686,991,054.06/281,967.26
  6. Step 6: Final answer
    x = 222,320.11

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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.