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Finding the Fourth Proportional to 147,800, 203,969.04 and 80,736.32

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Solution

The fourth proportional to 147,800, 203,969.04 and 80,736.32 is: 111,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,800 : 203,969.04 = 80,736.32 : x
  2. Step 2: Convert to fraction form
    147,800/203,969.04 = 80,736.32/x
  3. Step 3: Cross multiply
    147,800x = 203,969.04 × 80,736.32
  4. Step 4: Simplify right side
    147,800x = 16,467,709,683.53
  5. Step 5: Solve for x
    x = 16,467,709,683.53/147,800
  6. Step 6: Final answer
    x = 111,418.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.