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Finding the Fourth Proportional to 57,853.78, 86,787.51 and 20,406.04

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Solution

The fourth proportional to 57,853.78, 86,787.51 and 20,406.04 is: 30,611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,853.78 : 86,787.51 = 20,406.04 : x
  2. Step 2: Convert to fraction form
    57,853.78/86,787.51 = 20,406.04/x
  3. Step 3: Cross multiply
    57,853.78x = 86,787.51 × 20,406.04
  4. Step 4: Simplify right side
    57,853.78x = 1,770,989,400.56
  5. Step 5: Solve for x
    x = 1,770,989,400.56/57,853.78
  6. Step 6: Final answer
    x = 30,611.47

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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.