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Finding the Fourth Proportional to 106,305, 159,555.91 and 53,751.39

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Solution

The fourth proportional to 106,305, 159,555.91 and 53,751.39 is: 80,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,305 : 159,555.91 = 53,751.39 : x
  2. Step 2: Convert to fraction form
    106,305/159,555.91 = 53,751.39/x
  3. Step 3: Cross multiply
    106,305x = 159,555.91 × 53,751.39
  4. Step 4: Simplify right side
    106,305x = 8,576,351,945.21
  5. Step 5: Solve for x
    x = 8,576,351,945.21/106,305
  6. Step 6: Final answer
    x = 80,676.84

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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.