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Finding the Fourth Proportional to 137,628.30, 206,909.01 and 109,902.54

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Solution

The fourth proportional to 137,628.30, 206,909.01 and 109,902.54 is: 165,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,628.30 : 206,909.01 = 109,902.54 : x
  2. Step 2: Convert to fraction form
    137,628.30/206,909.01 = 109,902.54/x
  3. Step 3: Cross multiply
    137,628.30x = 206,909.01 × 109,902.54
  4. Step 4: Simplify right side
    137,628.30x = 22,739,825,747.89
  5. Step 5: Solve for x
    x = 22,739,825,747.89/137,628.30
  6. Step 6: Final answer
    x = 165,226.38

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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.