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Finding the Fourth Proportional to 129,969.70, 195,027.45 and 55,077.10

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Solution

The fourth proportional to 129,969.70, 195,027.45 and 55,077.10 is: 82,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,969.70 : 195,027.45 = 55,077.10 : x
  2. Step 2: Convert to fraction form
    129,969.70/195,027.45 = 55,077.10/x
  3. Step 3: Cross multiply
    129,969.70x = 195,027.45 × 55,077.10
  4. Step 4: Simplify right side
    129,969.70x = 10,741,546,366.40
  5. Step 5: Solve for x
    x = 10,741,546,366.40/129,969.70
  6. Step 6: Final answer
    x = 82,646.54

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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.