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Finding the Fourth Proportional to 115,982.91, 173,978.01 and 55,179.90

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Solution

The fourth proportional to 115,982.91, 173,978.01 and 55,179.90 is: 82,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,982.91 : 173,978.01 = 55,179.90 : x
  2. Step 2: Convert to fraction form
    115,982.91/173,978.01 = 55,179.90/x
  3. Step 3: Cross multiply
    115,982.91x = 173,978.01 × 55,179.90
  4. Step 4: Simplify right side
    115,982.91x = 9,600,089,194.00
  5. Step 5: Solve for x
    x = 9,600,089,194.00/115,982.91
  6. Step 6: Final answer
    x = 82,771.58

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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.