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Finding the Fourth Proportional to 80,281.80, 120,413.18 and 21,122.10

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Solution

The fourth proportional to 80,281.80, 120,413.18 and 21,122.10 is: 31,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,281.80 : 120,413.18 = 21,122.10 : x
  2. Step 2: Convert to fraction form
    80,281.80/120,413.18 = 21,122.10/x
  3. Step 3: Cross multiply
    80,281.80x = 120,413.18 × 21,122.10
  4. Step 4: Simplify right side
    80,281.80x = 2,543,379,282.08
  5. Step 5: Solve for x
    x = 2,543,379,282.08/80,281.80
  6. Step 6: Final answer
    x = 31,680.65

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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.