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Finding the Fourth Proportional to 252,857.85, 379,362.88 and 75,364.84

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Solution

The fourth proportional to 252,857.85, 379,362.88 and 75,364.84 is: 113,069.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,857.85 : 379,362.88 = 75,364.84 : x
  2. Step 2: Convert to fraction form
    252,857.85/379,362.88 = 75,364.84/x
  3. Step 3: Cross multiply
    252,857.85x = 379,362.88 × 75,364.84
  4. Step 4: Simplify right side
    252,857.85x = 28,590,623,321.55
  5. Step 5: Solve for x
    x = 28,590,623,321.55/252,857.85
  6. Step 6: Final answer
    x = 113,069.95

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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.