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Finding the Fourth Proportional to 192,816.21, 289,168.41 and 74,460.63

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Solution

The fourth proportional to 192,816.21, 289,168.41 and 74,460.63 is: 111,669.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,816.21 : 289,168.41 = 74,460.63 : x
  2. Step 2: Convert to fraction form
    192,816.21/289,168.41 = 74,460.63/x
  3. Step 3: Cross multiply
    192,816.21x = 289,168.41 × 74,460.63
  4. Step 4: Simplify right side
    192,816.21x = 21,531,661,984.70
  5. Step 5: Solve for x
    x = 21,531,661,984.70/192,816.21
  6. Step 6: Final answer
    x = 111,669.36

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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.