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Finding the Fourth Proportional to 117,198.54, 161,722.41 and 65,506.10

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Solution

The fourth proportional to 117,198.54, 161,722.41 and 65,506.10 is: 90,391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,198.54 : 161,722.41 = 65,506.10 : x
  2. Step 2: Convert to fraction form
    117,198.54/161,722.41 = 65,506.10/x
  3. Step 3: Cross multiply
    117,198.54x = 161,722.41 × 65,506.10
  4. Step 4: Simplify right side
    117,198.54x = 10,593,803,553.09
  5. Step 5: Solve for x
    x = 10,593,803,553.09/117,198.54
  6. Step 6: Final answer
    x = 90,391.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.