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Finding the Fourth Proportional to 78,989.84, 118,481.11 and 19,824.20

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Solution

The fourth proportional to 78,989.84, 118,481.11 and 19,824.20 is: 29,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,989.84 : 118,481.11 = 19,824.20 : x
  2. Step 2: Convert to fraction form
    78,989.84/118,481.11 = 19,824.20/x
  3. Step 3: Cross multiply
    78,989.84x = 118,481.11 × 19,824.20
  4. Step 4: Simplify right side
    78,989.84x = 2,348,793,220.86
  5. Step 5: Solve for x
    x = 2,348,793,220.86/78,989.84
  6. Step 6: Final answer
    x = 29,735.38

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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.