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Finding the Fourth Proportional to 57,791.44, 86,712.20 and 20,378.24

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Solution

The fourth proportional to 57,791.44, 86,712.20 and 20,378.24 is: 30,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,791.44 : 86,712.20 = 20,378.24 : x
  2. Step 2: Convert to fraction form
    57,791.44/86,712.20 = 20,378.24/x
  3. Step 3: Cross multiply
    57,791.44x = 86,712.20 × 20,378.24
  4. Step 4: Simplify right side
    57,791.44x = 1,767,041,487.08
  5. Step 5: Solve for x
    x = 1,767,041,487.08/57,791.44
  6. Step 6: Final answer
    x = 30,576.18

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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.