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Finding the Fourth Proportional to 198,194, 273,507.72 and 118,706

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Solution

The fourth proportional to 198,194, 273,507.72 and 118,706 is: 163,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,194 : 273,507.72 = 118,706 : x
  2. Step 2: Convert to fraction form
    198,194/273,507.72 = 118,706/x
  3. Step 3: Cross multiply
    198,194x = 273,507.72 × 118,706
  4. Step 4: Simplify right side
    198,194x = 32,467,007,410.32
  5. Step 5: Solve for x
    x = 32,467,007,410.32/198,194
  6. Step 6: Final answer
    x = 163,814.28

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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.