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Finding the Fourth Proportional to 198,698.14, 298,056.30 and 65,589.94

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Solution

The fourth proportional to 198,698.14, 298,056.30 and 65,589.94 is: 98,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,698.14 : 298,056.30 = 65,589.94 : x
  2. Step 2: Convert to fraction form
    198,698.14/298,056.30 = 65,589.94/x
  3. Step 3: Cross multiply
    198,698.14x = 298,056.30 × 65,589.94
  4. Step 4: Simplify right side
    198,698.14x = 19,549,494,833.62
  5. Step 5: Solve for x
    x = 19,549,494,833.62/198,698.14
  6. Step 6: Final answer
    x = 98,387.91

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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.