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Finding the Fourth Proportional to 147,143, 203,043.30 and 82,597.46

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Solution

The fourth proportional to 147,143, 203,043.30 and 82,597.46 is: 113,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,143 : 203,043.30 = 82,597.46 : x
  2. Step 2: Convert to fraction form
    147,143/203,043.30 = 82,597.46/x
  3. Step 3: Cross multiply
    147,143x = 203,043.30 × 82,597.46
  4. Step 4: Simplify right side
    147,143x = 16,770,860,850.02
  5. Step 5: Solve for x
    x = 16,770,860,850.02/147,143
  6. Step 6: Final answer
    x = 113,976.61

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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.