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Finding the Fourth Proportional to 129,771.20, 194,802.60 and 100,319.60

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Solution

The fourth proportional to 129,771.20, 194,802.60 and 100,319.60 is: 150,592.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,771.20 : 194,802.60 = 100,319.60 : x
  2. Step 2: Convert to fraction form
    129,771.20/194,802.60 = 100,319.60/x
  3. Step 3: Cross multiply
    129,771.20x = 194,802.60 × 100,319.60
  4. Step 4: Simplify right side
    129,771.20x = 19,542,518,910.96
  5. Step 5: Solve for x
    x = 19,542,518,910.96/129,771.20
  6. Step 6: Final answer
    x = 150,592.11

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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.