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Finding the Fourth Proportional to 80,274.65, 120,413.32 and 30,378.24

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Solution

The fourth proportional to 80,274.65, 120,413.32 and 30,378.24 is: 45,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,274.65 : 120,413.32 = 30,378.24 : x
  2. Step 2: Convert to fraction form
    80,274.65/120,413.32 = 30,378.24/x
  3. Step 3: Cross multiply
    80,274.65x = 120,413.32 × 30,378.24
  4. Step 4: Simplify right side
    80,274.65x = 3,657,944,658.21
  5. Step 5: Solve for x
    x = 3,657,944,658.21/80,274.65
  6. Step 6: Final answer
    x = 45,567.87

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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.