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Finding the Fourth Proportional to 149,261.63, 205,978.10 and 81,279.44

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Solution

The fourth proportional to 149,261.63, 205,978.10 and 81,279.44 is: 112,164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,261.63 : 205,978.10 = 81,279.44 : x
  2. Step 2: Convert to fraction form
    149,261.63/205,978.10 = 81,279.44/x
  3. Step 3: Cross multiply
    149,261.63x = 205,978.10 × 81,279.44
  4. Step 4: Simplify right side
    149,261.63x = 16,741,783,183.98
  5. Step 5: Solve for x
    x = 16,741,783,183.98/149,261.63
  6. Step 6: Final answer
    x = 112,164.02

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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.