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Finding the Fourth Proportional to 53,902.56, 80,851.14 and 20,638.56

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Solution

The fourth proportional to 53,902.56, 80,851.14 and 20,638.56 is: 30,956.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,902.56 : 80,851.14 = 20,638.56 : x
  2. Step 2: Convert to fraction form
    53,902.56/80,851.14 = 20,638.56/x
  3. Step 3: Cross multiply
    53,902.56x = 80,851.14 × 20,638.56
  4. Step 4: Simplify right side
    53,902.56x = 1,668,651,103.96
  5. Step 5: Solve for x
    x = 1,668,651,103.96/53,902.56
  6. Step 6: Final answer
    x = 30,956.81

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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.