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Finding the Fourth Proportional to 57,578.64, 86,361.08 and 20,135.84

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Solution

The fourth proportional to 57,578.64, 86,361.08 and 20,135.84 is: 30,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,578.64 : 86,361.08 = 20,135.84 : x
  2. Step 2: Convert to fraction form
    57,578.64/86,361.08 = 20,135.84/x
  3. Step 3: Cross multiply
    57,578.64x = 86,361.08 × 20,135.84
  4. Step 4: Simplify right side
    57,578.64x = 1,738,952,889.11
  5. Step 5: Solve for x
    x = 1,738,952,889.11/57,578.64
  6. Step 6: Final answer
    x = 30,201.35

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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.