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Finding the Fourth Proportional to 57,124, 85,686 and 15,571

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Solution

The fourth proportional to 57,124, 85,686 and 15,571 is: 23,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,124 : 85,686 = 15,571 : x
  2. Step 2: Convert to fraction form
    57,124/85,686 = 15,571/x
  3. Step 3: Cross multiply
    57,124x = 85,686 × 15,571
  4. Step 4: Simplify right side
    57,124x = 1,334,216,706
  5. Step 5: Solve for x
    x = 1,334,216,706/57,124
  6. Step 6: Final answer
    x = 23,356.50

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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.