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Finding the Fourth Proportional to 67,138.80, 100,735.47 and 33,868.50

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Solution

The fourth proportional to 67,138.80, 100,735.47 and 33,868.50 is: 50,816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,138.80 : 100,735.47 = 33,868.50 : x
  2. Step 2: Convert to fraction form
    67,138.80/100,735.47 = 33,868.50/x
  3. Step 3: Cross multiply
    67,138.80x = 100,735.47 × 33,868.50
  4. Step 4: Simplify right side
    67,138.80x = 3,411,759,265.70
  5. Step 5: Solve for x
    x = 3,411,759,265.70/67,138.80
  6. Step 6: Final answer
    x = 50,816.51

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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.