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Finding the Fourth Proportional to 198,747.60, 298,121.40 and 120,015.60

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Solution

The fourth proportional to 198,747.60, 298,121.40 and 120,015.60 is: 180,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,747.60 : 298,121.40 = 120,015.60 : x
  2. Step 2: Convert to fraction form
    198,747.60/298,121.40 = 120,015.60/x
  3. Step 3: Cross multiply
    198,747.60x = 298,121.40 × 120,015.60
  4. Step 4: Simplify right side
    198,747.60x = 35,779,218,693.84
  5. Step 5: Solve for x
    x = 35,779,218,693.84/198,747.60
  6. Step 6: Final answer
    x = 180,023.40

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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.