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Finding the Fourth Proportional to 198,978.48, 298,405.80 and 65,828.88

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Solution

The fourth proportional to 198,978.48, 298,405.80 and 65,828.88 is: 98,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,978.48 : 298,405.80 = 65,828.88 : x
  2. Step 2: Convert to fraction form
    198,978.48/298,405.80 = 65,828.88/x
  3. Step 3: Cross multiply
    198,978.48x = 298,405.80 × 65,828.88
  4. Step 4: Simplify right side
    198,978.48x = 19,643,719,599.50
  5. Step 5: Solve for x
    x = 19,643,719,599.50/198,978.48
  6. Step 6: Final answer
    x = 98,722.83

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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.