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Finding the Fourth Proportional to 39,078.56, 53,927.16 and 22,311.56

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Solution

The fourth proportional to 39,078.56, 53,927.16 and 22,311.56 is: 30,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,078.56 : 53,927.16 = 22,311.56 : x
  2. Step 2: Convert to fraction form
    39,078.56/53,927.16 = 22,311.56/x
  3. Step 3: Cross multiply
    39,078.56x = 53,927.16 × 22,311.56
  4. Step 4: Simplify right side
    39,078.56x = 1,203,199,065.97
  5. Step 5: Solve for x
    x = 1,203,199,065.97/39,078.56
  6. Step 6: Final answer
    x = 30,789.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.