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Finding the Fourth Proportional to 38,242, 57,240.16 and 20,428.12

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Solution

The fourth proportional to 38,242, 57,240.16 and 20,428.12 is: 30,576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,242 : 57,240.16 = 20,428.12 : x
  2. Step 2: Convert to fraction form
    38,242/57,240.16 = 20,428.12/x
  3. Step 3: Cross multiply
    38,242x = 57,240.16 × 20,428.12
  4. Step 4: Simplify right side
    38,242x = 1,169,308,857.30
  5. Step 5: Solve for x
    x = 1,169,308,857.30/38,242
  6. Step 6: Final answer
    x = 30,576.56

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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.