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Finding the Fourth Proportional to 78,253.71, 117,395.78 and 33,274.54

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Solution

The fourth proportional to 78,253.71, 117,395.78 and 33,274.54 is: 49,918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,253.71 : 117,395.78 = 33,274.54 : x
  2. Step 2: Convert to fraction form
    78,253.71/117,395.78 = 33,274.54/x
  3. Step 3: Cross multiply
    78,253.71x = 117,395.78 × 33,274.54
  4. Step 4: Simplify right side
    78,253.71x = 3,906,290,577.44
  5. Step 5: Solve for x
    x = 3,906,290,577.44/78,253.71
  6. Step 6: Final answer
    x = 49,918.28

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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.