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Finding the Fourth Proportional to 78,228, 117,361.44 and 22,824

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Solution

The fourth proportional to 78,228, 117,361.44 and 22,824 is: 34,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,228 : 117,361.44 = 22,824 : x
  2. Step 2: Convert to fraction form
    78,228/117,361.44 = 22,824/x
  3. Step 3: Cross multiply
    78,228x = 117,361.44 × 22,824
  4. Step 4: Simplify right side
    78,228x = 2,678,657,506.56
  5. Step 5: Solve for x
    x = 2,678,657,506.56/78,228
  6. Step 6: Final answer
    x = 34,241.67

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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.