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Finding the Fourth Proportional to 76,800, 115,206.60 and 21,396

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Solution

The fourth proportional to 76,800, 115,206.60 and 21,396 is: 32,095.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,800 : 115,206.60 = 21,396 : x
  2. Step 2: Convert to fraction form
    76,800/115,206.60 = 21,396/x
  3. Step 3: Cross multiply
    76,800x = 115,206.60 × 21,396
  4. Step 4: Simplify right side
    76,800x = 2,464,960,413.60
  5. Step 5: Solve for x
    x = 2,464,960,413.60/76,800
  6. Step 6: Final answer
    x = 32,095.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.