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Finding the Fourth Proportional to 198,494.48, 297,782.76 and 65,382.86

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Solution

The fourth proportional to 198,494.48, 297,782.76 and 65,382.86 is: 98,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,494.48 : 297,782.76 = 65,382.86 : x
  2. Step 2: Convert to fraction form
    198,494.48/297,782.76 = 65,382.86/x
  3. Step 3: Cross multiply
    198,494.48x = 297,782.76 × 65,382.86
  4. Step 4: Simplify right side
    198,494.48x = 19,469,888,507.49
  5. Step 5: Solve for x
    x = 19,469,888,507.49/198,494.48
  6. Step 6: Final answer
    x = 98,087.81

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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.