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Finding the Fourth Proportional to 78,786.78, 118,164.81 and 23,383.26

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Solution

The fourth proportional to 78,786.78, 118,164.81 and 23,383.26 is: 35,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,786.78 : 118,164.81 = 23,383.26 : x
  2. Step 2: Convert to fraction form
    78,786.78/118,164.81 = 23,383.26/x
  3. Step 3: Cross multiply
    78,786.78x = 118,164.81 × 23,383.26
  4. Step 4: Simplify right side
    78,786.78x = 2,763,078,475.08
  5. Step 5: Solve for x
    x = 2,763,078,475.08/78,786.78
  6. Step 6: Final answer
    x = 35,070.33

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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.