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Finding the Fourth Proportional to 51,591, 71,195.58 and 30,383.31

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Solution

The fourth proportional to 51,591, 71,195.58 and 30,383.31 is: 41,928.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,591 : 71,195.58 = 30,383.31 : x
  2. Step 2: Convert to fraction form
    51,591/71,195.58 = 30,383.31/x
  3. Step 3: Cross multiply
    51,591x = 71,195.58 × 30,383.31
  4. Step 4: Simplify right side
    51,591x = 2,163,157,377.77
  5. Step 5: Solve for x
    x = 2,163,157,377.77/51,591
  6. Step 6: Final answer
    x = 41,928.97

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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.