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Finding the Fourth Proportional to 57,204.50, 85,819.72 and 20,268.50

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Solution

The fourth proportional to 57,204.50, 85,819.72 and 20,268.50 is: 30,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,204.50 : 85,819.72 = 20,268.50 : x
  2. Step 2: Convert to fraction form
    57,204.50/85,819.72 = 20,268.50/x
  3. Step 3: Cross multiply
    57,204.50x = 85,819.72 × 20,268.50
  4. Step 4: Simplify right side
    57,204.50x = 1,739,436,994.82
  5. Step 5: Solve for x
    x = 1,739,436,994.82/57,204.50
  6. Step 6: Final answer
    x = 30,407.35

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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.