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Finding the Fourth Proportional to 147,168, 203,092.56 and 80,100

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Solution

The fourth proportional to 147,168, 203,092.56 and 80,100 is: 110,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,168 : 203,092.56 = 80,100 : x
  2. Step 2: Convert to fraction form
    147,168/203,092.56 = 80,100/x
  3. Step 3: Cross multiply
    147,168x = 203,092.56 × 80,100
  4. Step 4: Simplify right side
    147,168x = 16,267,714,056
  5. Step 5: Solve for x
    x = 16,267,714,056/147,168
  6. Step 6: Final answer
    x = 110,538.39

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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.