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Finding the Fourth Proportional to 254,187, 381,280.50 and 67,198.50

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Solution

The fourth proportional to 254,187, 381,280.50 and 67,198.50 is: 100,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,187 : 381,280.50 = 67,198.50 : x
  2. Step 2: Convert to fraction form
    254,187/381,280.50 = 67,198.50/x
  3. Step 3: Cross multiply
    254,187x = 381,280.50 × 67,198.50
  4. Step 4: Simplify right side
    254,187x = 25,621,477,679.25
  5. Step 5: Solve for x
    x = 25,621,477,679.25/254,187
  6. Step 6: Final answer
    x = 100,797.75

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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.