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Finding the Fourth Proportional to 198,695.84, 297,863.46 and 72,246.74

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Solution

The fourth proportional to 198,695.84, 297,863.46 and 72,246.74 is: 108,304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,695.84 : 297,863.46 = 72,246.74 : x
  2. Step 2: Convert to fraction form
    198,695.84/297,863.46 = 72,246.74/x
  3. Step 3: Cross multiply
    198,695.84x = 297,863.46 × 72,246.74
  4. Step 4: Simplify right side
    198,695.84x = 21,519,662,460.80
  5. Step 5: Solve for x
    x = 21,519,662,460.80/198,695.84
  6. Step 6: Final answer
    x = 108,304.55

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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.