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Finding the Fourth Proportional to 100,138.14, 150,203.16 and 36,930.87

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Solution

The fourth proportional to 100,138.14, 150,203.16 and 36,930.87 is: 55,394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,138.14 : 150,203.16 = 36,930.87 : x
  2. Step 2: Convert to fraction form
    100,138.14/150,203.16 = 36,930.87/x
  3. Step 3: Cross multiply
    100,138.14x = 150,203.16 × 36,930.87
  4. Step 4: Simplify right side
    100,138.14x = 5,547,133,375.55
  5. Step 5: Solve for x
    x = 5,547,133,375.55/100,138.14
  6. Step 6: Final answer
    x = 55,394.81

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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.