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Finding the Fourth Proportional to 147,568, 203,648.16 and 80,504.32

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Solution

The fourth proportional to 147,568, 203,648.16 and 80,504.32 is: 111,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,568 : 203,648.16 = 80,504.32 : x
  2. Step 2: Convert to fraction form
    147,568/203,648.16 = 80,504.32/x
  3. Step 3: Cross multiply
    147,568x = 203,648.16 × 80,504.32
  4. Step 4: Simplify right side
    147,568x = 16,394,556,640.05
  5. Step 5: Solve for x
    x = 16,394,556,640.05/147,568
  6. Step 6: Final answer
    x = 111,098.32

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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.