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Finding the Fourth Proportional to 198,051.93, 297,100.94 and 71,751.65

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Solution

The fourth proportional to 198,051.93, 297,100.94 and 71,751.65 is: 107,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,051.93 : 297,100.94 = 71,751.65 : x
  2. Step 2: Convert to fraction form
    198,051.93/297,100.94 = 71,751.65/x
  3. Step 3: Cross multiply
    198,051.93x = 297,100.94 × 71,751.65
  4. Step 4: Simplify right side
    198,051.93x = 21,317,480,817.29
  5. Step 5: Solve for x
    x = 21,317,480,817.29/198,051.93
  6. Step 6: Final answer
    x = 107,635.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.