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Finding the Fourth Proportional to 78,431.52, 117,661.86 and 25,843.08

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Solution

The fourth proportional to 78,431.52, 117,661.86 and 25,843.08 is: 38,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,431.52 : 117,661.86 = 25,843.08 : x
  2. Step 2: Convert to fraction form
    78,431.52/117,661.86 = 25,843.08/x
  3. Step 3: Cross multiply
    78,431.52x = 117,661.86 × 25,843.08
  4. Step 4: Simplify right side
    78,431.52x = 3,040,744,860.93
  5. Step 5: Solve for x
    x = 3,040,744,860.93/78,431.52
  6. Step 6: Final answer
    x = 38,769.42

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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.