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Finding the Fourth Proportional to 100,685.82, 150,934.41 and 34,079.32

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Solution

The fourth proportional to 100,685.82, 150,934.41 and 34,079.32 is: 51,087.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,685.82 : 150,934.41 = 34,079.32 : x
  2. Step 2: Convert to fraction form
    100,685.82/150,934.41 = 34,079.32/x
  3. Step 3: Cross multiply
    100,685.82x = 150,934.41 × 34,079.32
  4. Step 4: Simplify right side
    100,685.82x = 5,143,741,680.07
  5. Step 5: Solve for x
    x = 5,143,741,680.07/100,685.82
  6. Step 6: Final answer
    x = 51,087.05

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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.