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Finding the Fourth Proportional to 198,714.92, 274,085.58 and 122,133.46

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Solution

The fourth proportional to 198,714.92, 274,085.58 and 122,133.46 is: 168,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,714.92 : 274,085.58 = 122,133.46 : x
  2. Step 2: Convert to fraction form
    198,714.92/274,085.58 = 122,133.46/x
  3. Step 3: Cross multiply
    198,714.92x = 274,085.58 × 122,133.46
  4. Step 4: Simplify right side
    198,714.92x = 33,475,020,221.51
  5. Step 5: Solve for x
    x = 33,475,020,221.51/198,714.92
  6. Step 6: Final answer
    x = 168,457.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.