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Finding the Fourth Proportional to 49,283.73, 73,978.20 and 21,217.68

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Solution

The fourth proportional to 49,283.73, 73,978.20 and 21,217.68 is: 31,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,283.73 : 73,978.20 = 21,217.68 : x
  2. Step 2: Convert to fraction form
    49,283.73/73,978.20 = 21,217.68/x
  3. Step 3: Cross multiply
    49,283.73x = 73,978.20 × 21,217.68
  4. Step 4: Simplify right side
    49,283.73x = 1,569,645,774.58
  5. Step 5: Solve for x
    x = 1,569,645,774.58/49,283.73
  6. Step 6: Final answer
    x = 31,849.17

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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.