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Finding the Fourth Proportional to 198,958.72, 274,493.76 and 112,907.52

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Solution

The fourth proportional to 198,958.72, 274,493.76 and 112,907.52 is: 155,773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,958.72 : 274,493.76 = 112,907.52 : x
  2. Step 2: Convert to fraction form
    198,958.72/274,493.76 = 112,907.52/x
  3. Step 3: Cross multiply
    198,958.72x = 274,493.76 × 112,907.52
  4. Step 4: Simplify right side
    198,958.72x = 30,992,409,697.08
  5. Step 5: Solve for x
    x = 30,992,409,697.08/198,958.72
  6. Step 6: Final answer
    x = 155,773.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.