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Finding the Fourth Proportional to 35,119, 48,464.22 and 20,215

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Solution

The fourth proportional to 35,119, 48,464.22 and 20,215 is: 27,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,119 : 48,464.22 = 20,215 : x
  2. Step 2: Convert to fraction form
    35,119/48,464.22 = 20,215/x
  3. Step 3: Cross multiply
    35,119x = 48,464.22 × 20,215
  4. Step 4: Simplify right side
    35,119x = 979,704,207.30
  5. Step 5: Solve for x
    x = 979,704,207.30/35,119
  6. Step 6: Final answer
    x = 27,896.70

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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.