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Finding the Fourth Proportional to 78,553.26, 117,791.28 and 27,935.28

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Solution

The fourth proportional to 78,553.26, 117,791.28 and 27,935.28 is: 41,889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,553.26 : 117,791.28 = 27,935.28 : x
  2. Step 2: Convert to fraction form
    78,553.26/117,791.28 = 27,935.28/x
  3. Step 3: Cross multiply
    78,553.26x = 117,791.28 × 27,935.28
  4. Step 4: Simplify right side
    78,553.26x = 3,290,532,388.36
  5. Step 5: Solve for x
    x = 3,290,532,388.36/78,553.26
  6. Step 6: Final answer
    x = 41,889.19

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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.