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Finding the Fourth Proportional to 32,199.12, 48,199.86 and 20,520.54

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Solution

The fourth proportional to 32,199.12, 48,199.86 and 20,520.54 is: 30,717.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199.12 : 48,199.86 = 20,520.54 : x
  2. Step 2: Convert to fraction form
    32,199.12/48,199.86 = 20,520.54/x
  3. Step 3: Cross multiply
    32,199.12x = 48,199.86 × 20,520.54
  4. Step 4: Simplify right side
    32,199.12x = 989,087,155.12
  5. Step 5: Solve for x
    x = 989,087,155.12/32,199.12
  6. Step 6: Final answer
    x = 30,717.83

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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.