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Finding the Fourth Proportional to 143,583.87, 198,164.34 and 82,353.95

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Solution

The fourth proportional to 143,583.87, 198,164.34 and 82,353.95 is: 113,659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,583.87 : 198,164.34 = 82,353.95 : x
  2. Step 2: Convert to fraction form
    143,583.87/198,164.34 = 82,353.95/x
  3. Step 3: Cross multiply
    143,583.87x = 198,164.34 × 82,353.95
  4. Step 4: Simplify right side
    143,583.87x = 16,319,615,900.44
  5. Step 5: Solve for x
    x = 16,319,615,900.44/143,583.87
  6. Step 6: Final answer
    x = 113,659.11

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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.