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Finding the Fourth Proportional to 253,786.50, 380,679.75 and 87,574.50

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Solution

The fourth proportional to 253,786.50, 380,679.75 and 87,574.50 is: 131,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,786.50 : 380,679.75 = 87,574.50 : x
  2. Step 2: Convert to fraction form
    253,786.50/380,679.75 = 87,574.50/x
  3. Step 3: Cross multiply
    253,786.50x = 380,679.75 × 87,574.50
  4. Step 4: Simplify right side
    253,786.50x = 33,337,838,766.38
  5. Step 5: Solve for x
    x = 33,337,838,766.38/253,786.50
  6. Step 6: Final answer
    x = 131,361.75

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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.