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Finding the Fourth Proportional to 51,644.48, 71,268 and 29,288

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Solution

The fourth proportional to 51,644.48, 71,268 and 29,288 is: 40,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,644.48 : 71,268 = 29,288 : x
  2. Step 2: Convert to fraction form
    51,644.48/71,268 = 29,288/x
  3. Step 3: Cross multiply
    51,644.48x = 71,268 × 29,288
  4. Step 4: Simplify right side
    51,644.48x = 2,087,297,184
  5. Step 5: Solve for x
    x = 2,087,297,184/51,644.48
  6. Step 6: Final answer
    x = 40,416.66

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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.