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Finding the Fourth Proportional to 205,334.40, 308,174.40 and 100,243.20

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Solution

The fourth proportional to 205,334.40, 308,174.40 and 100,243.20 is: 150,449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,334.40 : 308,174.40 = 100,243.20 : x
  2. Step 2: Convert to fraction form
    205,334.40/308,174.40 = 100,243.20/x
  3. Step 3: Cross multiply
    205,334.40x = 308,174.40 × 100,243.20
  4. Step 4: Simplify right side
    205,334.40x = 30,892,388,014.08
  5. Step 5: Solve for x
    x = 30,892,388,014.08/205,334.40
  6. Step 6: Final answer
    x = 150,449.16

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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.