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Finding the Fourth Proportional to 57,468.72, 86,203.20 and 15,915.84

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Solution

The fourth proportional to 57,468.72, 86,203.20 and 15,915.84 is: 23,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,468.72 : 86,203.20 = 15,915.84 : x
  2. Step 2: Convert to fraction form
    57,468.72/86,203.20 = 15,915.84/x
  3. Step 3: Cross multiply
    57,468.72x = 86,203.20 × 15,915.84
  4. Step 4: Simplify right side
    57,468.72x = 1,371,996,338.69
  5. Step 5: Solve for x
    x = 1,371,996,338.69/57,468.72
  6. Step 6: Final answer
    x = 23,873.79

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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.