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Finding the Fourth Proportional to 120,129.92, 165,779.94 and 65,682.26

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Solution

The fourth proportional to 120,129.92, 165,779.94 and 65,682.26 is: 90,641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,129.92 : 165,779.94 = 65,682.26 : x
  2. Step 2: Convert to fraction form
    120,129.92/165,779.94 = 65,682.26/x
  3. Step 3: Cross multiply
    120,129.92x = 165,779.94 × 65,682.26
  4. Step 4: Simplify right side
    120,129.92x = 10,888,801,121.86
  5. Step 5: Solve for x
    x = 10,888,801,121.86/120,129.92
  6. Step 6: Final answer
    x = 90,641.87

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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.