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Finding the Fourth Proportional to 117,238, 161,786.31 and 66,249.63

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Solution

The fourth proportional to 117,238, 161,786.31 and 66,249.63 is: 91,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,238 : 161,786.31 = 66,249.63 : x
  2. Step 2: Convert to fraction form
    117,238/161,786.31 = 66,249.63/x
  3. Step 3: Cross multiply
    117,238x = 161,786.31 × 66,249.63
  4. Step 4: Simplify right side
    117,238x = 10,718,283,176.57
  5. Step 5: Solve for x
    x = 10,718,283,176.57/117,238
  6. Step 6: Final answer
    x = 91,423.29

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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.