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Finding the Fourth Proportional to 100,262.78, 150,395.01 and 80,222.60

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Solution

The fourth proportional to 100,262.78, 150,395.01 and 80,222.60 is: 120,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,262.78 : 150,395.01 = 80,222.60 : x
  2. Step 2: Convert to fraction form
    100,262.78/150,395.01 = 80,222.60/x
  3. Step 3: Cross multiply
    100,262.78x = 150,395.01 × 80,222.60
  4. Step 4: Simplify right side
    100,262.78x = 12,065,078,729.23
  5. Step 5: Solve for x
    x = 12,065,078,729.23/100,262.78
  6. Step 6: Final answer
    x = 120,334.58

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1.5x scale

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.