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Finding the Fourth Proportional to 57,411.21, 86,121.78 and 15,858.21

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Solution

The fourth proportional to 57,411.21, 86,121.78 and 15,858.21 is: 23,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,411.21 : 86,121.78 = 15,858.21 : x
  2. Step 2: Convert to fraction form
    57,411.21/86,121.78 = 15,858.21/x
  3. Step 3: Cross multiply
    57,411.21x = 86,121.78 × 15,858.21
  4. Step 4: Simplify right side
    57,411.21x = 1,365,737,272.81
  5. Step 5: Solve for x
    x = 1,365,737,272.81/57,411.21
  6. Step 6: Final answer
    x = 23,788.69

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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.