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Finding the Fourth Proportional to 82,283.54, 123,425.31 and 19,953.50

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Solution

The fourth proportional to 82,283.54, 123,425.31 and 19,953.50 is: 29,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,283.54 : 123,425.31 = 19,953.50 : x
  2. Step 2: Convert to fraction form
    82,283.54/123,425.31 = 19,953.50/x
  3. Step 3: Cross multiply
    82,283.54x = 123,425.31 × 19,953.50
  4. Step 4: Simplify right side
    82,283.54x = 2,462,766,923.09
  5. Step 5: Solve for x
    x = 2,462,766,923.09/82,283.54
  6. Step 6: Final answer
    x = 29,930.25

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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.