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Finding the Fourth Proportional to 39,750.54, 54,856.76 and 21,846

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Solution

The fourth proportional to 39,750.54, 54,856.76 and 21,846 is: 30,148.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,750.54 : 54,856.76 = 21,846 : x
  2. Step 2: Convert to fraction form
    39,750.54/54,856.76 = 21,846/x
  3. Step 3: Cross multiply
    39,750.54x = 54,856.76 × 21,846
  4. Step 4: Simplify right side
    39,750.54x = 1,198,400,778.96
  5. Step 5: Solve for x
    x = 1,198,400,778.96/39,750.54
  6. Step 6: Final answer
    x = 30,148.04

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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.