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Finding the Fourth Proportional to 137,608.80, 206,879.76 and 109,883.04

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Solution

The fourth proportional to 137,608.80, 206,879.76 and 109,883.04 is: 165,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,608.80 : 206,879.76 = 109,883.04 : x
  2. Step 2: Convert to fraction form
    137,608.80/206,879.76 = 109,883.04/x
  3. Step 3: Cross multiply
    137,608.80x = 206,879.76 × 109,883.04
  4. Step 4: Simplify right side
    137,608.80x = 22,732,576,943.27
  5. Step 5: Solve for x
    x = 22,732,576,943.27/137,608.80
  6. Step 6: Final answer
    x = 165,197.12

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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.