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Finding the Fourth Proportional to 77,986, 116,991.16 and 25,383.04

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Solution

The fourth proportional to 77,986, 116,991.16 and 25,383.04 is: 38,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,986 : 116,991.16 = 25,383.04 : x
  2. Step 2: Convert to fraction form
    77,986/116,991.16 = 25,383.04/x
  3. Step 3: Cross multiply
    77,986x = 116,991.16 × 25,383.04
  4. Step 4: Simplify right side
    77,986x = 2,969,591,293.93
  5. Step 5: Solve for x
    x = 2,969,591,293.93/77,986
  6. Step 6: Final answer
    x = 38,078.52

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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.