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Finding the Fourth Proportional to 147,208, 203,147.08 and 80,140

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Solution

The fourth proportional to 147,208, 203,147.08 and 80,140 is: 110,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,208 : 203,147.08 = 80,140 : x
  2. Step 2: Convert to fraction form
    147,208/203,147.08 = 80,140/x
  3. Step 3: Cross multiply
    147,208x = 203,147.08 × 80,140
  4. Step 4: Simplify right side
    147,208x = 16,280,206,991.20
  5. Step 5: Solve for x
    x = 16,280,206,991.20/147,208
  6. Step 6: Final answer
    x = 110,593.22

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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.