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Finding the Fourth Proportional to 57,871.42, 86,813.49 and 18,419.29

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Solution

The fourth proportional to 57,871.42, 86,813.49 and 18,419.29 is: 27,630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,871.42 : 86,813.49 = 18,419.29 : x
  2. Step 2: Convert to fraction form
    57,871.42/86,813.49 = 18,419.29/x
  3. Step 3: Cross multiply
    57,871.42x = 86,813.49 × 18,419.29
  4. Step 4: Simplify right side
    57,871.42x = 1,599,042,848.22
  5. Step 5: Solve for x
    x = 1,599,042,848.22/57,871.42
  6. Step 6: Final answer
    x = 27,630.96

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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.