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Finding the Fourth Proportional to 80,413.70, 120,697.35 and 68,740.10

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Solution

The fourth proportional to 80,413.70, 120,697.35 and 68,740.10 is: 103,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,413.70 : 120,697.35 = 68,740.10 : x
  2. Step 2: Convert to fraction form
    80,413.70/120,697.35 = 68,740.10/x
  3. Step 3: Cross multiply
    80,413.70x = 120,697.35 × 68,740.10
  4. Step 4: Simplify right side
    80,413.70x = 8,296,747,908.74
  5. Step 5: Solve for x
    x = 8,296,747,908.74/80,413.70
  6. Step 6: Final answer
    x = 103,175.80

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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.