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Finding the Fourth Proportional to 81,609.20, 122,413.80 and 75,704.30

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Solution

The fourth proportional to 81,609.20, 122,413.80 and 75,704.30 is: 113,556.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,609.20 : 122,413.80 = 75,704.30 : x
  2. Step 2: Convert to fraction form
    81,609.20/122,413.80 = 75,704.30/x
  3. Step 3: Cross multiply
    81,609.20x = 122,413.80 × 75,704.30
  4. Step 4: Simplify right side
    81,609.20x = 9,267,251,039.34
  5. Step 5: Solve for x
    x = 9,267,251,039.34/81,609.20
  6. Step 6: Final answer
    x = 113,556.45

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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.