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Finding the Fourth Proportional to 57,400.31, 86,105.43 and 15,847.31

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Solution

The fourth proportional to 57,400.31, 86,105.43 and 15,847.31 is: 23,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,400.31 : 86,105.43 = 15,847.31 : x
  2. Step 2: Convert to fraction form
    57,400.31/86,105.43 = 15,847.31/x
  3. Step 3: Cross multiply
    57,400.31x = 86,105.43 × 15,847.31
  4. Step 4: Simplify right side
    57,400.31x = 1,364,539,657.16
  5. Step 5: Solve for x
    x = 1,364,539,657.16/57,400.31
  6. Step 6: Final answer
    x = 23,772.34

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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.