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Finding the Fourth Proportional to 251,991.84, 378,027.82 and 83,518.10

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Solution

The fourth proportional to 251,991.84, 378,027.82 and 83,518.10 is: 125,290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,991.84 : 378,027.82 = 83,518.10 : x
  2. Step 2: Convert to fraction form
    251,991.84/378,027.82 = 83,518.10/x
  3. Step 3: Cross multiply
    251,991.84x = 378,027.82 × 83,518.10
  4. Step 4: Simplify right side
    251,991.84x = 31,572,165,273.54
  5. Step 5: Solve for x
    x = 31,572,165,273.54/251,991.84
  6. Step 6: Final answer
    x = 125,290.43

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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.