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Finding the Fourth Proportional to 71,908.94, 107,825.42 and 31,910.55

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Solution

The fourth proportional to 71,908.94, 107,825.42 and 31,910.55 is: 47,848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,908.94 : 107,825.42 = 31,910.55 : x
  2. Step 2: Convert to fraction form
    71,908.94/107,825.42 = 31,910.55/x
  3. Step 3: Cross multiply
    71,908.94x = 107,825.42 × 31,910.55
  4. Step 4: Simplify right side
    71,908.94x = 3,440,768,639.88
  5. Step 5: Solve for x
    x = 3,440,768,639.88/71,908.94
  6. Step 6: Final answer
    x = 47,848.97

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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.