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Finding the Fourth Proportional to 198,549, 297,823.50 and 50,805

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Solution

The fourth proportional to 198,549, 297,823.50 and 50,805 is: 76,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,549 : 297,823.50 = 50,805 : x
  2. Step 2: Convert to fraction form
    198,549/297,823.50 = 50,805/x
  3. Step 3: Cross multiply
    198,549x = 297,823.50 × 50,805
  4. Step 4: Simplify right side
    198,549x = 15,130,922,917.50
  5. Step 5: Solve for x
    x = 15,130,922,917.50/198,549
  6. Step 6: Final answer
    x = 76,207.50

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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.