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Finding the Fourth Proportional to 171,223.74, 256,879.43 and 100,206.18

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Solution

The fourth proportional to 171,223.74, 256,879.43 and 100,206.18 is: 150,334.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,223.74 : 256,879.43 = 100,206.18 : x
  2. Step 2: Convert to fraction form
    171,223.74/256,879.43 = 100,206.18/x
  3. Step 3: Cross multiply
    171,223.74x = 256,879.43 × 100,206.18
  4. Step 4: Simplify right side
    171,223.74x = 25,740,905,899.85
  5. Step 5: Solve for x
    x = 25,740,905,899.85/171,223.74
  6. Step 6: Final answer
    x = 150,334.91

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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.