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Finding the Fourth Proportional to 109,768.70, 164,456.22 and 103,863.80

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Solution

The fourth proportional to 109,768.70, 164,456.22 and 103,863.80 is: 155,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,768.70 : 164,456.22 = 103,863.80 : x
  2. Step 2: Convert to fraction form
    109,768.70/164,456.22 = 103,863.80/x
  3. Step 3: Cross multiply
    109,768.70x = 164,456.22 × 103,863.80
  4. Step 4: Simplify right side
    109,768.70x = 17,081,047,942.84
  5. Step 5: Solve for x
    x = 17,081,047,942.84/109,768.70
  6. Step 6: Final answer
    x = 155,609.46

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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.