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Finding the Fourth Proportional to 100,675.80, 150,919.78 and 34,069.60

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Solution

The fourth proportional to 100,675.80, 150,919.78 and 34,069.60 is: 51,072.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,675.80 : 150,919.78 = 34,069.60 : x
  2. Step 2: Convert to fraction form
    100,675.80/150,919.78 = 34,069.60/x
  3. Step 3: Cross multiply
    100,675.80x = 150,919.78 × 34,069.60
  4. Step 4: Simplify right side
    100,675.80x = 5,141,776,536.69
  5. Step 5: Solve for x
    x = 5,141,776,536.69/100,675.80
  6. Step 6: Final answer
    x = 51,072.62

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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.