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Finding the Fourth Proportional to 289,626.44, 434,498.18 and 100,093.73

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Solution

The fourth proportional to 289,626.44, 434,498.18 and 100,093.73 is: 150,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,626.44 : 434,498.18 = 100,093.73 : x
  2. Step 2: Convert to fraction form
    289,626.44/434,498.18 = 100,093.73/x
  3. Step 3: Cross multiply
    289,626.44x = 434,498.18 × 100,093.73
  4. Step 4: Simplify right side
    289,626.44x = 43,490,540,841.45
  5. Step 5: Solve for x
    x = 43,490,540,841.45/289,626.44
  6. Step 6: Final answer
    x = 150,160.81

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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.