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Finding the Fourth Proportional to 100,638.56, 150,949.12 and 34,077.28

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Solution

The fourth proportional to 100,638.56, 150,949.12 and 34,077.28 is: 51,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,638.56 : 150,949.12 = 34,077.28 : x
  2. Step 2: Convert to fraction form
    100,638.56/150,949.12 = 34,077.28/x
  3. Step 3: Cross multiply
    100,638.56x = 150,949.12 × 34,077.28
  4. Step 4: Simplify right side
    100,638.56x = 5,143,935,427.99
  5. Step 5: Solve for x
    x = 5,143,935,427.99/100,638.56
  6. Step 6: Final answer
    x = 51,112.97

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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.