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Finding the Fourth Proportional to 138,626.18, 207,794.54 and 100,583.54

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Solution

The fourth proportional to 138,626.18, 207,794.54 and 100,583.54 is: 150,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,626.18 : 207,794.54 = 100,583.54 : x
  2. Step 2: Convert to fraction form
    138,626.18/207,794.54 = 100,583.54/x
  3. Step 3: Cross multiply
    138,626.18x = 207,794.54 × 100,583.54
  4. Step 4: Simplify right side
    138,626.18x = 20,900,709,638.36
  5. Step 5: Solve for x
    x = 20,900,709,638.36/138,626.18
  6. Step 6: Final answer
    x = 150,770.30

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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.