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Finding the Fourth Proportional to 218,800, 301,944.27 and 118,198

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Solution

The fourth proportional to 218,800, 301,944.27 and 118,198 is: 163,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,800 : 301,944.27 = 118,198 : x
  2. Step 2: Convert to fraction form
    218,800/301,944.27 = 118,198/x
  3. Step 3: Cross multiply
    218,800x = 301,944.27 × 118,198
  4. Step 4: Simplify right side
    218,800x = 35,689,208,825.46
  5. Step 5: Solve for x
    x = 35,689,208,825.46/218,800
  6. Step 6: Final answer
    x = 163,113.39

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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.