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Finding the Fourth Proportional to 120,863.92, 166,782.42 and 69,879.92

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Solution

The fourth proportional to 120,863.92, 166,782.42 and 69,879.92 is: 96,428.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,863.92 : 166,782.42 = 69,879.92 : x
  2. Step 2: Convert to fraction form
    120,863.92/166,782.42 = 69,879.92/x
  3. Step 3: Cross multiply
    120,863.92x = 166,782.42 × 69,879.92
  4. Step 4: Simplify right side
    120,863.92x = 11,654,742,167.01
  5. Step 5: Solve for x
    x = 11,654,742,167.01/120,863.92
  6. Step 6: Final answer
    x = 96,428.63

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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.