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Finding the Fourth Proportional to 169,189.26, 253,827.62 and 80,542.86

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Solution

The fourth proportional to 169,189.26, 253,827.62 and 80,542.86 is: 120,835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,189.26 : 253,827.62 = 80,542.86 : x
  2. Step 2: Convert to fraction form
    169,189.26/253,827.62 = 80,542.86/x
  3. Step 3: Cross multiply
    169,189.26x = 253,827.62 × 80,542.86
  4. Step 4: Simplify right side
    169,189.26x = 20,444,001,862.31
  5. Step 5: Solve for x
    x = 20,444,001,862.31/169,189.26
  6. Step 6: Final answer
    x = 120,835.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.