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Finding the Fourth Proportional to 198,987.56, 298,409.66 and 65,843.24

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Solution

The fourth proportional to 198,987.56, 298,409.66 and 65,843.24 is: 98,741.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,987.56 : 298,409.66 = 65,843.24 : x
  2. Step 2: Convert to fraction form
    198,987.56/298,409.66 = 65,843.24/x
  3. Step 3: Cross multiply
    198,987.56x = 298,409.66 × 65,843.24
  4. Step 4: Simplify right side
    198,987.56x = 19,648,258,861.70
  5. Step 5: Solve for x
    x = 19,648,258,861.70/198,987.56
  6. Step 6: Final answer
    x = 98,741.14

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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.