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Finding the Fourth Proportional to 142,578.02, 196,754.73 and 78,912.02

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Solution

The fourth proportional to 142,578.02, 196,754.73 and 78,912.02 is: 108,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,578.02 : 196,754.73 = 78,912.02 : x
  2. Step 2: Convert to fraction form
    142,578.02/196,754.73 = 78,912.02/x
  3. Step 3: Cross multiply
    142,578.02x = 196,754.73 × 78,912.02
  4. Step 4: Simplify right side
    142,578.02x = 15,526,313,188.85
  5. Step 5: Solve for x
    x = 15,526,313,188.85/142,578.02
  6. Step 6: Final answer
    x = 108,896.96

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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.