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Finding the Fourth Proportional to 100,102.65, 150,083.09 and 50,147.11

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Solution

The fourth proportional to 100,102.65, 150,083.09 and 50,147.11 is: 75,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,102.65 : 150,083.09 = 50,147.11 : x
  2. Step 2: Convert to fraction form
    100,102.65/150,083.09 = 50,147.11/x
  3. Step 3: Cross multiply
    100,102.65x = 150,083.09 × 50,147.11
  4. Step 4: Simplify right side
    100,102.65x = 7,526,233,223.37
  5. Step 5: Solve for x
    x = 7,526,233,223.37/100,102.65
  6. Step 6: Final answer
    x = 75,185.15

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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.