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Finding the Fourth Proportional to 57,631, 86,446.50 and 18,719

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Solution

The fourth proportional to 57,631, 86,446.50 and 18,719 is: 28,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,631 : 86,446.50 = 18,719 : x
  2. Step 2: Convert to fraction form
    57,631/86,446.50 = 18,719/x
  3. Step 3: Cross multiply
    57,631x = 86,446.50 × 18,719
  4. Step 4: Simplify right side
    57,631x = 1,618,192,033.50
  5. Step 5: Solve for x
    x = 1,618,192,033.50/57,631
  6. Step 6: Final answer
    x = 28,078.50

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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.