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Finding the Fourth Proportional to 213,027.56, 319,706.58 and 80,028.80

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Solution

The fourth proportional to 213,027.56, 319,706.58 and 80,028.80 is: 120,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,027.56 : 319,706.58 = 80,028.80 : x
  2. Step 2: Convert to fraction form
    213,027.56/319,706.58 = 80,028.80/x
  3. Step 3: Cross multiply
    213,027.56x = 319,706.58 × 80,028.80
  4. Step 4: Simplify right side
    213,027.56x = 25,585,733,949.50
  5. Step 5: Solve for x
    x = 25,585,733,949.50/213,027.56
  6. Step 6: Final answer
    x = 120,105.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.