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Finding the Fourth Proportional to 38,102.40, 57,078 and 25,413.12

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Solution

The fourth proportional to 38,102.40, 57,078 and 25,413.12 is: 38,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.40 : 57,078 = 25,413.12 : x
  2. Step 2: Convert to fraction form
    38,102.40/57,078 = 25,413.12/x
  3. Step 3: Cross multiply
    38,102.40x = 57,078 × 25,413.12
  4. Step 4: Simplify right side
    38,102.40x = 1,450,530,063.36
  5. Step 5: Solve for x
    x = 1,450,530,063.36/38,102.40
  6. Step 6: Final answer
    x = 38,069.26

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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.