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Finding the Fourth Proportional to 35,074, 48,403.56 and 20,170

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Solution

The fourth proportional to 35,074, 48,403.56 and 20,170 is: 27,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,074 : 48,403.56 = 20,170 : x
  2. Step 2: Convert to fraction form
    35,074/48,403.56 = 20,170/x
  3. Step 3: Cross multiply
    35,074x = 48,403.56 × 20,170
  4. Step 4: Simplify right side
    35,074x = 976,299,805.20
  5. Step 5: Solve for x
    x = 976,299,805.20/35,074
  6. Step 6: Final answer
    x = 27,835.43

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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.