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Finding the Fourth Proportional to 198,554, 297,867.90 and 65,443.61

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Solution

The fourth proportional to 198,554, 297,867.90 and 65,443.61 is: 98,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,554 : 297,867.90 = 65,443.61 : x
  2. Step 2: Convert to fraction form
    198,554/297,867.90 = 65,443.61/x
  3. Step 3: Cross multiply
    198,554x = 297,867.90 × 65,443.61
  4. Step 4: Simplify right side
    198,554x = 19,493,550,679.12
  5. Step 5: Solve for x
    x = 19,493,550,679.12/198,554
  6. Step 6: Final answer
    x = 98,177.58

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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.