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Finding the Fourth Proportional to 284,145.76, 426,087.42 and 106,525.72

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Solution

The fourth proportional to 284,145.76, 426,087.42 and 106,525.72 is: 159,739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,145.76 : 426,087.42 = 106,525.72 : x
  2. Step 2: Convert to fraction form
    284,145.76/426,087.42 = 106,525.72/x
  3. Step 3: Cross multiply
    284,145.76x = 426,087.42 × 106,525.72
  4. Step 4: Simplify right side
    284,145.76x = 45,389,269,198.44
  5. Step 5: Solve for x
    x = 45,389,269,198.44/284,145.76
  6. Step 6: Final answer
    x = 159,739.39

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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.