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Finding the Fourth Proportional to 198,888.86, 298,287.73 and 56,731.43

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Solution

The fourth proportional to 198,888.86, 298,287.73 and 56,731.43 is: 85,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,888.86 : 298,287.73 = 56,731.43 : x
  2. Step 2: Convert to fraction form
    198,888.86/298,287.73 = 56,731.43/x
  3. Step 3: Cross multiply
    198,888.86x = 298,287.73 × 56,731.43
  4. Step 4: Simplify right side
    198,888.86x = 16,922,289,474.35
  5. Step 5: Solve for x
    x = 16,922,289,474.35/198,888.86
  6. Step 6: Final answer
    x = 85,084.15

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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.