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Finding the Fourth Proportional to 251,028.32, 376,462.49 and 82,509.64

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Solution

The fourth proportional to 251,028.32, 376,462.49 and 82,509.64 is: 123,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,028.32 : 376,462.49 = 82,509.64 : x
  2. Step 2: Convert to fraction form
    251,028.32/376,462.49 = 82,509.64/x
  3. Step 3: Cross multiply
    251,028.32x = 376,462.49 × 82,509.64
  4. Step 4: Simplify right side
    251,028.32x = 31,061,783,169.70
  5. Step 5: Solve for x
    x = 31,061,783,169.70/251,028.32
  6. Step 6: Final answer
    x = 123,738.17

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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.