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Finding the Fourth Proportional to 100,850.10, 150,947.10 and 78,542.70

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Solution

The fourth proportional to 100,850.10, 150,947.10 and 78,542.70 is: 117,558.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,850.10 : 150,947.10 = 78,542.70 : x
  2. Step 2: Convert to fraction form
    100,850.10/150,947.10 = 78,542.70/x
  3. Step 3: Cross multiply
    100,850.10x = 150,947.10 × 78,542.70
  4. Step 4: Simplify right side
    100,850.10x = 11,855,792,791.17
  5. Step 5: Solve for x
    x = 11,855,792,791.17/100,850.10
  6. Step 6: Final answer
    x = 117,558.56

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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.