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Finding the Fourth Proportional to 198,492.49, 297,738.99 and 54,399.55

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Solution

The fourth proportional to 198,492.49, 297,738.99 and 54,399.55 is: 81,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,492.49 : 297,738.99 = 54,399.55 : x
  2. Step 2: Convert to fraction form
    198,492.49/297,738.99 = 54,399.55/x
  3. Step 3: Cross multiply
    198,492.49x = 297,738.99 × 54,399.55
  4. Step 4: Simplify right side
    198,492.49x = 16,196,867,073.45
  5. Step 5: Solve for x
    x = 16,196,867,073.45/198,492.49
  6. Step 6: Final answer
    x = 81,599.39

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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.