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Finding the Fourth Proportional to 131,027.60, 196,687.20 and 71,978.60

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Solution

The fourth proportional to 131,027.60, 196,687.20 and 71,978.60 is: 108,047.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,027.60 : 196,687.20 = 71,978.60 : x
  2. Step 2: Convert to fraction form
    131,027.60/196,687.20 = 71,978.60/x
  3. Step 3: Cross multiply
    131,027.60x = 196,687.20 × 71,978.60
  4. Step 4: Simplify right side
    131,027.60x = 14,157,269,293.92
  5. Step 5: Solve for x
    x = 14,157,269,293.92/131,027.60
  6. Step 6: Final answer
    x = 108,047.99

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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.