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Finding the Fourth Proportional to 198,652.50, 297,978.75 and 50,908.50

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Solution

The fourth proportional to 198,652.50, 297,978.75 and 50,908.50 is: 76,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,652.50 : 297,978.75 = 50,908.50 : x
  2. Step 2: Convert to fraction form
    198,652.50/297,978.75 = 50,908.50/x
  3. Step 3: Cross multiply
    198,652.50x = 297,978.75 × 50,908.50
  4. Step 4: Simplify right side
    198,652.50x = 15,169,651,194.38
  5. Step 5: Solve for x
    x = 15,169,651,194.38/198,652.50
  6. Step 6: Final answer
    x = 76,362.75

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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.