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Finding the Fourth Proportional to 80,928, 121,413.60 and 25,524

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Solution

The fourth proportional to 80,928, 121,413.60 and 25,524 is: 38,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,928 : 121,413.60 = 25,524 : x
  2. Step 2: Convert to fraction form
    80,928/121,413.60 = 25,524/x
  3. Step 3: Cross multiply
    80,928x = 121,413.60 × 25,524
  4. Step 4: Simplify right side
    80,928x = 3,098,960,726.40
  5. Step 5: Solve for x
    x = 3,098,960,726.40/80,928
  6. Step 6: Final answer
    x = 38,292.81

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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.