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Finding the Fourth Proportional to 198,871.41, 298,304.42 and 72,539.49

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Solution

The fourth proportional to 198,871.41, 298,304.42 and 72,539.49 is: 108,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,871.41 : 298,304.42 = 72,539.49 : x
  2. Step 2: Convert to fraction form
    198,871.41/298,304.42 = 72,539.49/x
  3. Step 3: Cross multiply
    198,871.41x = 298,304.42 × 72,539.49
  4. Step 4: Simplify right side
    198,871.41x = 21,638,850,128.85
  5. Step 5: Solve for x
    x = 21,638,850,128.85/198,871.41
  6. Step 6: Final answer
    x = 108,808.25

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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.