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Finding the Fourth Proportional to 150,734, 208,015.56 and 82,757.36

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Solution

The fourth proportional to 150,734, 208,015.56 and 82,757.36 is: 114,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,734 : 208,015.56 = 82,757.36 : x
  2. Step 2: Convert to fraction form
    150,734/208,015.56 = 82,757.36/x
  3. Step 3: Cross multiply
    150,734x = 208,015.56 × 82,757.36
  4. Step 4: Simplify right side
    150,734x = 17,214,818,584.52
  5. Step 5: Solve for x
    x = 17,214,818,584.52/150,734
  6. Step 6: Final answer
    x = 114,206.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.