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Finding the Fourth Proportional to 57,621, 86,431.50 and 13,845

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Solution

The fourth proportional to 57,621, 86,431.50 and 13,845 is: 20,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,621 : 86,431.50 = 13,845 : x
  2. Step 2: Convert to fraction form
    57,621/86,431.50 = 13,845/x
  3. Step 3: Cross multiply
    57,621x = 86,431.50 × 13,845
  4. Step 4: Simplify right side
    57,621x = 1,196,644,117.50
  5. Step 5: Solve for x
    x = 1,196,644,117.50/57,621
  6. Step 6: Final answer
    x = 20,767.50

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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.