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Finding the Fourth Proportional to 281,042.82, 387,853.29 and 166,387.26

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Solution

The fourth proportional to 281,042.82, 387,853.29 and 166,387.26 is: 229,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,042.82 : 387,853.29 = 166,387.26 : x
  2. Step 2: Convert to fraction form
    281,042.82/387,853.29 = 166,387.26/x
  3. Step 3: Cross multiply
    281,042.82x = 387,853.29 × 166,387.26
  4. Step 4: Simplify right side
    281,042.82x = 64,533,846,205.09
  5. Step 5: Solve for x
    x = 64,533,846,205.09/281,042.82
  6. Step 6: Final answer
    x = 229,622.82

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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.