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Finding the Fourth Proportional to 35,323.75, 48,751.11 and 20,419.75

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Solution

The fourth proportional to 35,323.75, 48,751.11 and 20,419.75 is: 28,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,323.75 : 48,751.11 = 20,419.75 : x
  2. Step 2: Convert to fraction form
    35,323.75/48,751.11 = 20,419.75/x
  3. Step 3: Cross multiply
    35,323.75x = 48,751.11 × 20,419.75
  4. Step 4: Simplify right side
    35,323.75x = 995,485,478.42
  5. Step 5: Solve for x
    x = 995,485,478.42/35,323.75
  6. Step 6: Final answer
    x = 28,181.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.