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Finding the Fourth Proportional to 251,214.39, 376,863.84 and 82,783.26

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Solution

The fourth proportional to 251,214.39, 376,863.84 and 82,783.26 is: 124,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,214.39 : 376,863.84 = 82,783.26 : x
  2. Step 2: Convert to fraction form
    251,214.39/376,863.84 = 82,783.26/x
  3. Step 3: Cross multiply
    251,214.39x = 376,863.84 × 82,783.26
  4. Step 4: Simplify right side
    251,214.39x = 31,198,017,251.32
  5. Step 5: Solve for x
    x = 31,198,017,251.32/251,214.39
  6. Step 6: Final answer
    x = 124,188.81

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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.