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Finding the Fourth Proportional to 38,193.88, 57,302.16 and 20,659

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Solution

The fourth proportional to 38,193.88, 57,302.16 and 20,659 is: 30,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,193.88 : 57,302.16 = 20,659 : x
  2. Step 2: Convert to fraction form
    38,193.88/57,302.16 = 20,659/x
  3. Step 3: Cross multiply
    38,193.88x = 57,302.16 × 20,659
  4. Step 4: Simplify right side
    38,193.88x = 1,183,805,323.44
  5. Step 5: Solve for x
    x = 1,183,805,323.44/38,193.88
  6. Step 6: Final answer
    x = 30,994.63

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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.