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Finding the Fourth Proportional to 57,721.66, 86,595.47 and 20,284.32

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Solution

The fourth proportional to 57,721.66, 86,595.47 and 20,284.32 is: 30,431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,721.66 : 86,595.47 = 20,284.32 : x
  2. Step 2: Convert to fraction form
    57,721.66/86,595.47 = 20,284.32/x
  3. Step 3: Cross multiply
    57,721.66x = 86,595.47 × 20,284.32
  4. Step 4: Simplify right side
    57,721.66x = 1,756,530,224.03
  5. Step 5: Solve for x
    x = 1,756,530,224.03/57,721.66
  6. Step 6: Final answer
    x = 30,431.04

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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.