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Finding the Fourth Proportional to 36,978.80, 55,435.80 and 22,193.60

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Solution

The fourth proportional to 36,978.80, 55,435.80 and 22,193.60 is: 33,270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.80 : 55,435.80 = 22,193.60 : x
  2. Step 2: Convert to fraction form
    36,978.80/55,435.80 = 22,193.60/x
  3. Step 3: Cross multiply
    36,978.80x = 55,435.80 × 22,193.60
  4. Step 4: Simplify right side
    36,978.80x = 1,230,319,970.88
  5. Step 5: Solve for x
    x = 1,230,319,970.88/36,978.80
  6. Step 6: Final answer
    x = 33,270.95

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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.