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Finding the Fourth Proportional to 197,978.80, 296,968.20 and 123,329.20

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Solution

The fourth proportional to 197,978.80, 296,968.20 and 123,329.20 is: 184,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,978.80 : 296,968.20 = 123,329.20 : x
  2. Step 2: Convert to fraction form
    197,978.80/296,968.20 = 123,329.20/x
  3. Step 3: Cross multiply
    197,978.80x = 296,968.20 × 123,329.20
  4. Step 4: Simplify right side
    197,978.80x = 36,624,850,531.44
  5. Step 5: Solve for x
    x = 36,624,850,531.44/197,978.80
  6. Step 6: Final answer
    x = 184,993.80

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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.