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Finding the Fourth Proportional to 57,871.94, 86,814.27 and 18,419.81

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Solution

The fourth proportional to 57,871.94, 86,814.27 and 18,419.81 is: 27,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,871.94 : 86,814.27 = 18,419.81 : x
  2. Step 2: Convert to fraction form
    57,871.94/86,814.27 = 18,419.81/x
  3. Step 3: Cross multiply
    57,871.94x = 86,814.27 × 18,419.81
  4. Step 4: Simplify right side
    57,871.94x = 1,599,101,924.62
  5. Step 5: Solve for x
    x = 1,599,101,924.62/57,871.94
  6. Step 6: Final answer
    x = 27,631.73

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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.