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Finding the Fourth Proportional to 109,676.20, 164,579.10 and 80,019.40

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Solution

The fourth proportional to 109,676.20, 164,579.10 and 80,019.40 is: 120,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,676.20 : 164,579.10 = 80,019.40 : x
  2. Step 2: Convert to fraction form
    109,676.20/164,579.10 = 80,019.40/x
  3. Step 3: Cross multiply
    109,676.20x = 164,579.10 × 80,019.40
  4. Step 4: Simplify right side
    109,676.20x = 13,169,520,834.54
  5. Step 5: Solve for x
    x = 13,169,520,834.54/109,676.20
  6. Step 6: Final answer
    x = 120,076.38

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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.