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Finding the Fourth Proportional to 147,180, 203,109.12 and 80,112

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Solution

The fourth proportional to 147,180, 203,109.12 and 80,112 is: 110,554.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,180 : 203,109.12 = 80,112 : x
  2. Step 2: Convert to fraction form
    147,180/203,109.12 = 80,112/x
  3. Step 3: Cross multiply
    147,180x = 203,109.12 × 80,112
  4. Step 4: Simplify right side
    147,180x = 16,271,477,821.44
  5. Step 5: Solve for x
    x = 16,271,477,821.44/147,180
  6. Step 6: Final answer
    x = 110,554.95

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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.