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Finding the Fourth Proportional to 78,480.56, 117,735.36 and 25,893.68

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Solution

The fourth proportional to 78,480.56, 117,735.36 and 25,893.68 is: 38,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,480.56 : 117,735.36 = 25,893.68 : x
  2. Step 2: Convert to fraction form
    78,480.56/117,735.36 = 25,893.68/x
  3. Step 3: Cross multiply
    78,480.56x = 117,735.36 × 25,893.68
  4. Step 4: Simplify right side
    78,480.56x = 3,048,601,736.52
  5. Step 5: Solve for x
    x = 3,048,601,736.52/78,480.56
  6. Step 6: Final answer
    x = 38,845.31

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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.