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Finding the Fourth Proportional to 262,086.50, 393,129.75 and 75,098

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Solution

The fourth proportional to 262,086.50, 393,129.75 and 75,098 is: 112,647

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,086.50 : 393,129.75 = 75,098 : x
  2. Step 2: Convert to fraction form
    262,086.50/393,129.75 = 75,098/x
  3. Step 3: Cross multiply
    262,086.50x = 393,129.75 × 75,098
  4. Step 4: Simplify right side
    262,086.50x = 29,523,257,965.50
  5. Step 5: Solve for x
    x = 29,523,257,965.50/262,086.50
  6. Step 6: Final answer
    x = 112,647

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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.