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Finding the Fourth Proportional to 51,539, 71,123.82 and 29,183

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Solution

The fourth proportional to 51,539, 71,123.82 and 29,183 is: 40,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,539 : 71,123.82 = 29,183 : x
  2. Step 2: Convert to fraction form
    51,539/71,123.82 = 29,183/x
  3. Step 3: Cross multiply
    51,539x = 71,123.82 × 29,183
  4. Step 4: Simplify right side
    51,539x = 2,075,606,439.06
  5. Step 5: Solve for x
    x = 2,075,606,439.06/51,539
  6. Step 6: Final answer
    x = 40,272.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.