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Finding the Fourth Proportional to 57,830.34, 86,746.11 and 20,383.44

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Solution

The fourth proportional to 57,830.34, 86,746.11 and 20,383.44 is: 30,575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,830.34 : 86,746.11 = 20,383.44 : x
  2. Step 2: Convert to fraction form
    57,830.34/86,746.11 = 20,383.44/x
  3. Step 3: Cross multiply
    57,830.34x = 86,746.11 × 20,383.44
  4. Step 4: Simplify right side
    57,830.34x = 1,768,183,694.69
  5. Step 5: Solve for x
    x = 1,768,183,694.69/57,830.34
  6. Step 6: Final answer
    x = 30,575.36

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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.