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Finding the Fourth Proportional to 57,144.96, 85,716.48 and 15,591.96

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Solution

The fourth proportional to 57,144.96, 85,716.48 and 15,591.96 is: 23,387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,144.96 : 85,716.48 = 15,591.96 : x
  2. Step 2: Convert to fraction form
    57,144.96/85,716.48 = 15,591.96/x
  3. Step 3: Cross multiply
    57,144.96x = 85,716.48 × 15,591.96
  4. Step 4: Simplify right side
    57,144.96x = 1,336,487,927.50
  5. Step 5: Solve for x
    x = 1,336,487,927.50/57,144.96
  6. Step 6: Final answer
    x = 23,387.68

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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.