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Finding the Fourth Proportional to 57,874.56, 86,813.28 and 16,320

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Solution

The fourth proportional to 57,874.56, 86,813.28 and 16,320 is: 24,480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,874.56 : 86,813.28 = 16,320 : x
  2. Step 2: Convert to fraction form
    57,874.56/86,813.28 = 16,320/x
  3. Step 3: Cross multiply
    57,874.56x = 86,813.28 × 16,320
  4. Step 4: Simplify right side
    57,874.56x = 1,416,792,729.60
  5. Step 5: Solve for x
    x = 1,416,792,729.60/57,874.56
  6. Step 6: Final answer
    x = 24,480.41

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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.