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Finding the Fourth Proportional to 100,843.70, 151,265.55 and 30,723

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Solution

The fourth proportional to 100,843.70, 151,265.55 and 30,723 is: 46,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,843.70 : 151,265.55 = 30,723 : x
  2. Step 2: Convert to fraction form
    100,843.70/151,265.55 = 30,723/x
  3. Step 3: Cross multiply
    100,843.70x = 151,265.55 × 30,723
  4. Step 4: Simplify right side
    100,843.70x = 4,647,331,492.65
  5. Step 5: Solve for x
    x = 4,647,331,492.65/100,843.70
  6. Step 6: Final answer
    x = 46,084.50

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1.5x scale

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.