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Finding the Fourth Proportional to 100,646.91, 150,912 and 41,415.66

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Solution

The fourth proportional to 100,646.91, 150,912 and 41,415.66 is: 62,099.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,646.91 : 150,912 = 41,415.66 : x
  2. Step 2: Convert to fraction form
    100,646.91/150,912 = 41,415.66/x
  3. Step 3: Cross multiply
    100,646.91x = 150,912 × 41,415.66
  4. Step 4: Simplify right side
    100,646.91x = 6,250,120,081.92
  5. Step 5: Solve for x
    x = 6,250,120,081.92/100,646.91
  6. Step 6: Final answer
    x = 62,099.47

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1.5x scale

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.