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Finding the Fourth Proportional to 129,764.80, 194,647.20 and 128,015.20

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Solution

The fourth proportional to 129,764.80, 194,647.20 and 128,015.20 is: 192,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,764.80 : 194,647.20 = 128,015.20 : x
  2. Step 2: Convert to fraction form
    129,764.80/194,647.20 = 128,015.20/x
  3. Step 3: Cross multiply
    129,764.80x = 194,647.20 × 128,015.20
  4. Step 4: Simplify right side
    129,764.80x = 24,917,800,237.44
  5. Step 5: Solve for x
    x = 24,917,800,237.44/129,764.80
  6. Step 6: Final answer
    x = 192,022.80

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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.