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Finding the Fourth Proportional to 81,406.70, 122,110.05 and 53,413.10

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Solution

The fourth proportional to 81,406.70, 122,110.05 and 53,413.10 is: 80,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,406.70 : 122,110.05 = 53,413.10 : x
  2. Step 2: Convert to fraction form
    81,406.70/122,110.05 = 53,413.10/x
  3. Step 3: Cross multiply
    81,406.70x = 122,110.05 × 53,413.10
  4. Step 4: Simplify right side
    81,406.70x = 6,522,276,311.66
  5. Step 5: Solve for x
    x = 6,522,276,311.66/81,406.70
  6. Step 6: Final answer
    x = 80,119.65

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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.