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Finding the Fourth Proportional to 198,738.40, 298,044.42 and 65,593.84

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Solution

The fourth proportional to 198,738.40, 298,044.42 and 65,593.84 is: 98,369.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,738.40 : 298,044.42 = 65,593.84 : x
  2. Step 2: Convert to fraction form
    198,738.40/298,044.42 = 65,593.84/x
  3. Step 3: Cross multiply
    198,738.40x = 298,044.42 × 65,593.84
  4. Step 4: Simplify right side
    198,738.40x = 19,549,877,998.37
  5. Step 5: Solve for x
    x = 19,549,877,998.37/198,738.40
  6. Step 6: Final answer
    x = 98,369.91

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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.