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Finding the Fourth Proportional to 57,682.53, 86,419.81 and 54,208.64

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Solution

The fourth proportional to 57,682.53, 86,419.81 and 54,208.64 is: 81,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,682.53 : 86,419.81 = 54,208.64 : x
  2. Step 2: Convert to fraction form
    57,682.53/86,419.81 = 54,208.64/x
  3. Step 3: Cross multiply
    57,682.53x = 86,419.81 × 54,208.64
  4. Step 4: Simplify right side
    57,682.53x = 4,684,700,652.97
  5. Step 5: Solve for x
    x = 4,684,700,652.97/57,682.53
  6. Step 6: Final answer
    x = 81,215.24

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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.