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Finding the Fourth Proportional to 45,801.92, 68,689.92 and 20,828

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Solution

The fourth proportional to 45,801.92, 68,689.92 and 20,828 is: 31,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,801.92 : 68,689.92 = 20,828 : x
  2. Step 2: Convert to fraction form
    45,801.92/68,689.92 = 20,828/x
  3. Step 3: Cross multiply
    45,801.92x = 68,689.92 × 20,828
  4. Step 4: Simplify right side
    45,801.92x = 1,430,673,653.76
  5. Step 5: Solve for x
    x = 1,430,673,653.76/45,801.92
  6. Step 6: Final answer
    x = 31,236.11

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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.