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Finding the Fourth Proportional to 198,492.48, 297,779.76 and 65,380.86

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Solution

The fourth proportional to 198,492.48, 297,779.76 and 65,380.86 is: 98,084.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,492.48 : 297,779.76 = 65,380.86 : x
  2. Step 2: Convert to fraction form
    198,492.48/297,779.76 = 65,380.86/x
  3. Step 3: Cross multiply
    198,492.48x = 297,779.76 × 65,380.86
  4. Step 4: Simplify right side
    198,492.48x = 19,469,096,799.39
  5. Step 5: Solve for x
    x = 19,469,096,799.39/198,492.48
  6. Step 6: Final answer
    x = 98,084.81

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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.