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Finding the Fourth Proportional to 281,959.82, 389,068.56 and 161,108.93

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Solution

The fourth proportional to 281,959.82, 389,068.56 and 161,108.93 is: 222,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,959.82 : 389,068.56 = 161,108.93 : x
  2. Step 2: Convert to fraction form
    281,959.82/389,068.56 = 161,108.93/x
  3. Step 3: Cross multiply
    281,959.82x = 389,068.56 × 161,108.93
  4. Step 4: Simplify right side
    281,959.82x = 62,682,420,370.91
  5. Step 5: Solve for x
    x = 62,682,420,370.91/281,959.82
  6. Step 6: Final answer
    x = 222,309.77

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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.