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Finding the Fourth Proportional to 54,874.51, 82,311.74 and 15,431.62

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Solution

The fourth proportional to 54,874.51, 82,311.74 and 15,431.62 is: 23,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,874.51 : 82,311.74 = 15,431.62 : x
  2. Step 2: Convert to fraction form
    54,874.51/82,311.74 = 15,431.62/x
  3. Step 3: Cross multiply
    54,874.51x = 82,311.74 × 15,431.62
  4. Step 4: Simplify right side
    54,874.51x = 1,270,203,248.86
  5. Step 5: Solve for x
    x = 1,270,203,248.86/54,874.51
  6. Step 6: Final answer
    x = 23,147.42

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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.