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Finding the Fourth Proportional to 199,824.90, 300,065.40 and 133,558.80

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Solution

The fourth proportional to 199,824.90, 300,065.40 and 133,558.80 is: 200,557.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,824.90 : 300,065.40 = 133,558.80 : x
  2. Step 2: Convert to fraction form
    199,824.90/300,065.40 = 133,558.80/x
  3. Step 3: Cross multiply
    199,824.90x = 300,065.40 × 133,558.80
  4. Step 4: Simplify right side
    199,824.90x = 40,076,374,745.52
  5. Step 5: Solve for x
    x = 40,076,374,745.52/199,824.90
  6. Step 6: Final answer
    x = 200,557.46

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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.