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Finding the Fourth Proportional to 51,739.88, 71,401.10 and 29,383.88

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Solution

The fourth proportional to 51,739.88, 71,401.10 and 29,383.88 is: 40,549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,739.88 : 71,401.10 = 29,383.88 : x
  2. Step 2: Convert to fraction form
    51,739.88/71,401.10 = 29,383.88/x
  3. Step 3: Cross multiply
    51,739.88x = 71,401.10 × 29,383.88
  4. Step 4: Simplify right side
    51,739.88x = 2,098,040,850.34
  5. Step 5: Solve for x
    x = 2,098,040,850.34/51,739.88
  6. Step 6: Final answer
    x = 40,549.79

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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.