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Finding the Fourth Proportional to 57,193.50, 85,803.21 and 20,257.50

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Solution

The fourth proportional to 57,193.50, 85,803.21 and 20,257.50 is: 30,390.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,193.50 : 85,803.21 = 20,257.50 : x
  2. Step 2: Convert to fraction form
    57,193.50/85,803.21 = 20,257.50/x
  3. Step 3: Cross multiply
    57,193.50x = 85,803.21 × 20,257.50
  4. Step 4: Simplify right side
    57,193.50x = 1,738,158,526.58
  5. Step 5: Solve for x
    x = 1,738,158,526.58/57,193.50
  6. Step 6: Final answer
    x = 30,390.84

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1.5x scale

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.