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Finding the Fourth Proportional to 284,105.45, 426,033.47 and 106,487.91

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Solution

The fourth proportional to 284,105.45, 426,033.47 and 106,487.91 is: 159,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,105.45 : 426,033.47 = 106,487.91 : x
  2. Step 2: Convert to fraction form
    284,105.45/426,033.47 = 106,487.91/x
  3. Step 3: Cross multiply
    284,105.45x = 426,033.47 × 106,487.91
  4. Step 4: Simplify right side
    284,105.45x = 45,367,414,076.57
  5. Step 5: Solve for x
    x = 45,367,414,076.57/284,105.45
  6. Step 6: Final answer
    x = 159,685.12

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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.