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Finding the Fourth Proportional to 129,830.60, 194,601.90 and 50,918.60

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Solution

The fourth proportional to 129,830.60, 194,601.90 and 50,918.60 is: 76,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,830.60 : 194,601.90 = 50,918.60 : x
  2. Step 2: Convert to fraction form
    129,830.60/194,601.90 = 50,918.60/x
  3. Step 3: Cross multiply
    129,830.60x = 194,601.90 × 50,918.60
  4. Step 4: Simplify right side
    129,830.60x = 9,908,856,305.34
  5. Step 5: Solve for x
    x = 9,908,856,305.34/129,830.60
  6. Step 6: Final answer
    x = 76,321.42

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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.