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Finding the Fourth Proportional to 54,383.70, 81,467.55 and 47,889.30

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Solution

The fourth proportional to 54,383.70, 81,467.55 and 47,889.30 is: 71,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,383.70 : 81,467.55 = 47,889.30 : x
  2. Step 2: Convert to fraction form
    54,383.70/81,467.55 = 47,889.30/x
  3. Step 3: Cross multiply
    54,383.70x = 81,467.55 × 47,889.30
  4. Step 4: Simplify right side
    54,383.70x = 3,901,423,942.22
  5. Step 5: Solve for x
    x = 3,901,423,942.22/54,383.70
  6. Step 6: Final answer
    x = 71,738.85

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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.