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Finding the Fourth Proportional to 198,848.84, 298,319.96 and 65,729.09

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Solution

The fourth proportional to 198,848.84, 298,319.96 and 65,729.09 is: 98,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,848.84 : 298,319.96 = 65,729.09 : x
  2. Step 2: Convert to fraction form
    198,848.84/298,319.96 = 65,729.09/x
  3. Step 3: Cross multiply
    198,848.84x = 298,319.96 × 65,729.09
  4. Step 4: Simplify right side
    198,848.84x = 19,608,300,409.76
  5. Step 5: Solve for x
    x = 19,608,300,409.76/198,848.84
  6. Step 6: Final answer
    x = 98,609.08

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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.