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Finding the Fourth Proportional to 35,122, 48,468.36 and 20,218

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Solution

The fourth proportional to 35,122, 48,468.36 and 20,218 is: 27,900.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,122 : 48,468.36 = 20,218 : x
  2. Step 2: Convert to fraction form
    35,122/48,468.36 = 20,218/x
  3. Step 3: Cross multiply
    35,122x = 48,468.36 × 20,218
  4. Step 4: Simplify right side
    35,122x = 979,933,302.48
  5. Step 5: Solve for x
    x = 979,933,302.48/35,122
  6. Step 6: Final answer
    x = 27,900.84

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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.