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Finding the Fourth Proportional to 57,000, 85,500.03 and 15,447

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Solution

The fourth proportional to 57,000, 85,500.03 and 15,447 is: 23,170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,000 : 85,500.03 = 15,447 : x
  2. Step 2: Convert to fraction form
    57,000/85,500.03 = 15,447/x
  3. Step 3: Cross multiply
    57,000x = 85,500.03 × 15,447
  4. Step 4: Simplify right side
    57,000x = 1,320,718,963.41
  5. Step 5: Solve for x
    x = 1,320,718,963.41/57,000
  6. Step 6: Final answer
    x = 23,170.51

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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.