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Finding the Fourth Proportional to 198,805.93, 298,145.72 and 65,661.37

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Solution

The fourth proportional to 198,805.93, 298,145.72 and 65,661.37 is: 98,471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,805.93 : 298,145.72 = 65,661.37 : x
  2. Step 2: Convert to fraction form
    198,805.93/298,145.72 = 65,661.37/x
  3. Step 3: Cross multiply
    198,805.93x = 298,145.72 × 65,661.37
  4. Step 4: Simplify right side
    198,805.93x = 19,576,656,106.53
  5. Step 5: Solve for x
    x = 19,576,656,106.53/198,805.93
  6. Step 6: Final answer
    x = 98,471.19

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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.