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Finding the Fourth Proportional to 71,980.44, 107,978.58 and 27,645.24

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Solution

The fourth proportional to 71,980.44, 107,978.58 and 27,645.24 is: 41,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,980.44 : 107,978.58 = 27,645.24 : x
  2. Step 2: Convert to fraction form
    71,980.44/107,978.58 = 27,645.24/x
  3. Step 3: Cross multiply
    71,980.44x = 107,978.58 × 27,645.24
  4. Step 4: Simplify right side
    71,980.44x = 2,985,093,758.96
  5. Step 5: Solve for x
    x = 2,985,093,758.96/71,980.44
  6. Step 6: Final answer
    x = 41,470.90

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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.