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Finding the Fourth Proportional to 251,283.78, 376,971.84 and 82,814.04

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Solution

The fourth proportional to 251,283.78, 376,971.84 and 82,814.04 is: 124,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,283.78 : 376,971.84 = 82,814.04 : x
  2. Step 2: Convert to fraction form
    251,283.78/376,971.84 = 82,814.04/x
  3. Step 3: Cross multiply
    251,283.78x = 376,971.84 × 82,814.04
  4. Step 4: Simplify right side
    251,283.78x = 31,218,561,036.63
  5. Step 5: Solve for x
    x = 31,218,561,036.63/251,283.78
  6. Step 6: Final answer
    x = 124,236.28

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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.