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Finding the Fourth Proportional to 123,278.80, 184,450.20 and 81,806.80

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Solution

The fourth proportional to 123,278.80, 184,450.20 and 81,806.80 is: 122,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,278.80 : 184,450.20 = 81,806.80 : x
  2. Step 2: Convert to fraction form
    123,278.80/184,450.20 = 81,806.80/x
  3. Step 3: Cross multiply
    123,278.80x = 184,450.20 × 81,806.80
  4. Step 4: Simplify right side
    123,278.80x = 15,089,280,621.36
  5. Step 5: Solve for x
    x = 15,089,280,621.36/123,278.80
  6. Step 6: Final answer
    x = 122,399.64

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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.