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Finding the Fourth Proportional to 55,108, 76,049.40 and 29,958.40

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Solution

The fourth proportional to 55,108, 76,049.40 and 29,958.40 is: 41,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,108 : 76,049.40 = 29,958.40 : x
  2. Step 2: Convert to fraction form
    55,108/76,049.40 = 29,958.40/x
  3. Step 3: Cross multiply
    55,108x = 76,049.40 × 29,958.40
  4. Step 4: Simplify right side
    55,108x = 2,278,318,344.96
  5. Step 5: Solve for x
    x = 2,278,318,344.96/55,108
  6. Step 6: Final answer
    x = 41,342.79

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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.