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Finding the Fourth Proportional to 57,493.76, 86,240.64 and 15,940.76

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Solution

The fourth proportional to 57,493.76, 86,240.64 and 15,940.76 is: 23,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,493.76 : 86,240.64 = 15,940.76 : x
  2. Step 2: Convert to fraction form
    57,493.76/86,240.64 = 15,940.76/x
  3. Step 3: Cross multiply
    57,493.76x = 86,240.64 × 15,940.76
  4. Step 4: Simplify right side
    57,493.76x = 1,374,741,344.49
  5. Step 5: Solve for x
    x = 1,374,741,344.49/57,493.76
  6. Step 6: Final answer
    x = 23,911.14

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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.