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Finding the Fourth Proportional to 78,821.36, 118,234.08 and 22,659.20

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Solution

The fourth proportional to 78,821.36, 118,234.08 and 22,659.20 is: 33,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,821.36 : 118,234.08 = 22,659.20 : x
  2. Step 2: Convert to fraction form
    78,821.36/118,234.08 = 22,659.20/x
  3. Step 3: Cross multiply
    78,821.36x = 118,234.08 × 22,659.20
  4. Step 4: Simplify right side
    78,821.36x = 2,679,089,665.54
  5. Step 5: Solve for x
    x = 2,679,089,665.54/78,821.36
  6. Step 6: Final answer
    x = 33,989.39

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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.