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Finding the Fourth Proportional to 198,159, 273,508.06 and 121,696.31

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Solution

The fourth proportional to 198,159, 273,508.06 and 121,696.31 is: 167,970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,159 : 273,508.06 = 121,696.31 : x
  2. Step 2: Convert to fraction form
    198,159/273,508.06 = 121,696.31/x
  3. Step 3: Cross multiply
    198,159x = 273,508.06 × 121,696.31
  4. Step 4: Simplify right side
    198,159x = 33,284,921,657.26
  5. Step 5: Solve for x
    x = 33,284,921,657.26/198,159
  6. Step 6: Final answer
    x = 167,970.78

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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.