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Finding the Fourth Proportional to 198,785.80, 298,092.30 and 58,515.40

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Solution

The fourth proportional to 198,785.80, 298,092.30 and 58,515.40 is: 87,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,785.80 : 298,092.30 = 58,515.40 : x
  2. Step 2: Convert to fraction form
    198,785.80/298,092.30 = 58,515.40/x
  3. Step 3: Cross multiply
    198,785.80x = 298,092.30 × 58,515.40
  4. Step 4: Simplify right side
    198,785.80x = 17,442,990,171.42
  5. Step 5: Solve for x
    x = 17,442,990,171.42/198,785.80
  6. Step 6: Final answer
    x = 87,747.67

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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.