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Finding the Fourth Proportional to 56,077, 84,120.38 and 20,548

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Solution

The fourth proportional to 56,077, 84,120.38 and 20,548 is: 30,823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,077 : 84,120.38 = 20,548 : x
  2. Step 2: Convert to fraction form
    56,077/84,120.38 = 20,548/x
  3. Step 3: Cross multiply
    56,077x = 84,120.38 × 20,548
  4. Step 4: Simplify right side
    56,077x = 1,728,505,568.24
  5. Step 5: Solve for x
    x = 1,728,505,568.24/56,077
  6. Step 6: Final answer
    x = 30,823.79

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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.