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Finding the Fourth Proportional to 188,738.70, 282,856.38 and 70,290.78

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Solution

The fourth proportional to 188,738.70, 282,856.38 and 70,290.78 is: 105,342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,738.70 : 282,856.38 = 70,290.78 : x
  2. Step 2: Convert to fraction form
    188,738.70/282,856.38 = 70,290.78/x
  3. Step 3: Cross multiply
    188,738.70x = 282,856.38 × 70,290.78
  4. Step 4: Simplify right side
    188,738.70x = 19,882,195,578.18
  5. Step 5: Solve for x
    x = 19,882,195,578.18/188,738.70
  6. Step 6: Final answer
    x = 105,342.44

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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.