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Finding the Fourth Proportional to 57,202, 85,815.96 and 20,266

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Solution

The fourth proportional to 57,202, 85,815.96 and 20,266 is: 30,403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,202 : 85,815.96 = 20,266 : x
  2. Step 2: Convert to fraction form
    57,202/85,815.96 = 20,266/x
  3. Step 3: Cross multiply
    57,202x = 85,815.96 × 20,266
  4. Step 4: Simplify right side
    57,202x = 1,739,146,245.36
  5. Step 5: Solve for x
    x = 1,739,146,245.36/57,202
  6. Step 6: Final answer
    x = 30,403.59

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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.