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Finding the Fourth Proportional to 198,813.72, 298,210.86 and 74,145

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Solution

The fourth proportional to 198,813.72, 298,210.86 and 74,145 is: 111,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,813.72 : 298,210.86 = 74,145 : x
  2. Step 2: Convert to fraction form
    198,813.72/298,210.86 = 74,145/x
  3. Step 3: Cross multiply
    198,813.72x = 298,210.86 × 74,145
  4. Step 4: Simplify right side
    198,813.72x = 22,110,844,214.70
  5. Step 5: Solve for x
    x = 22,110,844,214.70/198,813.72
  6. Step 6: Final answer
    x = 111,213.88

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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.