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Finding the Fourth Proportional to 51,951, 71,730.81 and 31,835.37

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Solution

The fourth proportional to 51,951, 71,730.81 and 31,835.37 is: 43,956.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,951 : 71,730.81 = 31,835.37 : x
  2. Step 2: Convert to fraction form
    51,951/71,730.81 = 31,835.37/x
  3. Step 3: Cross multiply
    51,951x = 71,730.81 × 31,835.37
  4. Step 4: Simplify right side
    51,951x = 2,283,576,876.75
  5. Step 5: Solve for x
    x = 2,283,576,876.75/51,951
  6. Step 6: Final answer
    x = 43,956.36

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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.