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Finding the Fourth Proportional to 57,421, 86,131.50 and 15,868

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Solution

The fourth proportional to 57,421, 86,131.50 and 15,868 is: 23,802

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,421 : 86,131.50 = 15,868 : x
  2. Step 2: Convert to fraction form
    57,421/86,131.50 = 15,868/x
  3. Step 3: Cross multiply
    57,421x = 86,131.50 × 15,868
  4. Step 4: Simplify right side
    57,421x = 1,366,734,642
  5. Step 5: Solve for x
    x = 1,366,734,642/57,421
  6. Step 6: Final answer
    x = 23,802

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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.