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Finding the Fourth Proportional to 142,128, 196,136.64 and 82,512

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Solution

The fourth proportional to 142,128, 196,136.64 and 82,512 is: 113,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,128 : 196,136.64 = 82,512 : x
  2. Step 2: Convert to fraction form
    142,128/196,136.64 = 82,512/x
  3. Step 3: Cross multiply
    142,128x = 196,136.64 × 82,512
  4. Step 4: Simplify right side
    142,128x = 16,183,626,439.68
  5. Step 5: Solve for x
    x = 16,183,626,439.68/142,128
  6. Step 6: Final answer
    x = 113,866.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.