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Finding the Fourth Proportional to 78,824.88, 118,202.22 and 28,891.80

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Solution

The fourth proportional to 78,824.88, 118,202.22 and 28,891.80 is: 43,324.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,824.88 : 118,202.22 = 28,891.80 : x
  2. Step 2: Convert to fraction form
    78,824.88/118,202.22 = 28,891.80/x
  3. Step 3: Cross multiply
    78,824.88x = 118,202.22 × 28,891.80
  4. Step 4: Simplify right side
    78,824.88x = 3,415,074,899.80
  5. Step 5: Solve for x
    x = 3,415,074,899.80/78,824.88
  6. Step 6: Final answer
    x = 43,324.83

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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.