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Finding the Fourth Proportional to 80,210.61, 120,315.74 and 32,847.77

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Solution

The fourth proportional to 80,210.61, 120,315.74 and 32,847.77 is: 49,271.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,210.61 : 120,315.74 = 32,847.77 : x
  2. Step 2: Convert to fraction form
    80,210.61/120,315.74 = 32,847.77/x
  3. Step 3: Cross multiply
    80,210.61x = 120,315.74 × 32,847.77
  4. Step 4: Simplify right side
    80,210.61x = 3,952,102,989.08
  5. Step 5: Solve for x
    x = 3,952,102,989.08/80,210.61
  6. Step 6: Final answer
    x = 49,271.57

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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.