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Finding the Fourth Proportional to 129,665.20, 194,643.60 and 100,213.60

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Solution

The fourth proportional to 129,665.20, 194,643.60 and 100,213.60 is: 150,433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,665.20 : 194,643.60 = 100,213.60 : x
  2. Step 2: Convert to fraction form
    129,665.20/194,643.60 = 100,213.60/x
  3. Step 3: Cross multiply
    129,665.20x = 194,643.60 × 100,213.60
  4. Step 4: Simplify right side
    129,665.20x = 19,505,935,872.96
  5. Step 5: Solve for x
    x = 19,505,935,872.96/129,665.20
  6. Step 6: Final answer
    x = 150,433.08

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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.