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Finding the Fourth Proportional to 120,654.81, 166,486.91 and 80,394.57

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Solution

The fourth proportional to 120,654.81, 166,486.91 and 80,394.57 is: 110,933.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,654.81 : 166,486.91 = 80,394.57 : x
  2. Step 2: Convert to fraction form
    120,654.81/166,486.91 = 80,394.57/x
  3. Step 3: Cross multiply
    120,654.81x = 166,486.91 × 80,394.57
  4. Step 4: Simplify right side
    120,654.81x = 13,384,643,540.08
  5. Step 5: Solve for x
    x = 13,384,643,540.08/120,654.81
  6. Step 6: Final answer
    x = 110,933.36

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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.