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Finding the Fourth Proportional to 284,138.01, 426,075.80 and 106,517.97

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Solution

The fourth proportional to 284,138.01, 426,075.80 and 106,517.97 is: 159,727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,138.01 : 426,075.80 = 106,517.97 : x
  2. Step 2: Convert to fraction form
    284,138.01/426,075.80 = 106,517.97/x
  3. Step 3: Cross multiply
    284,138.01x = 426,075.80 × 106,517.97
  4. Step 4: Simplify right side
    284,138.01x = 45,384,728,749.54
  5. Step 5: Solve for x
    x = 45,384,728,749.54/284,138.01
  6. Step 6: Final answer
    x = 159,727.76

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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.