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Finding the Fourth Proportional to 109,676.70, 164,382.75 and 50,431.14

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Solution

The fourth proportional to 109,676.70, 164,382.75 and 50,431.14 is: 75,585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,676.70 : 164,382.75 = 50,431.14 : x
  2. Step 2: Convert to fraction form
    109,676.70/164,382.75 = 50,431.14/x
  3. Step 3: Cross multiply
    109,676.70x = 164,382.75 × 50,431.14
  4. Step 4: Simplify right side
    109,676.70x = 8,290,009,478.84
  5. Step 5: Solve for x
    x = 8,290,009,478.84/109,676.70
  6. Step 6: Final answer
    x = 75,585.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.