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Finding the Fourth Proportional to 205,816.36, 308,736.69 and 79,457.44

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Solution

The fourth proportional to 205,816.36, 308,736.69 and 79,457.44 is: 119,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,816.36 : 308,736.69 = 79,457.44 : x
  2. Step 2: Convert to fraction form
    205,816.36/308,736.69 = 79,457.44/x
  3. Step 3: Cross multiply
    205,816.36x = 308,736.69 × 79,457.44
  4. Step 4: Simplify right side
    205,816.36x = 24,531,427,021.47
  5. Step 5: Solve for x
    x = 24,531,427,021.47/205,816.36
  6. Step 6: Final answer
    x = 119,190.85

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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.