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Finding the Fourth Proportional to 76,817.56, 115,226.20 and 21,413.56

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Solution

The fourth proportional to 76,817.56, 115,226.20 and 21,413.56 is: 32,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,817.56 : 115,226.20 = 21,413.56 : x
  2. Step 2: Convert to fraction form
    76,817.56/115,226.20 = 21,413.56/x
  3. Step 3: Cross multiply
    76,817.56x = 115,226.20 × 21,413.56
  4. Step 4: Simplify right side
    76,817.56x = 2,467,403,147.27
  5. Step 5: Solve for x
    x = 2,467,403,147.27/76,817.56
  6. Step 6: Final answer
    x = 32,120.30

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1.5x scale

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.