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Finding the Fourth Proportional to 57,400.88, 86,109.96 and 20,462

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Solution

The fourth proportional to 57,400.88, 86,109.96 and 20,462 is: 30,696.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,400.88 : 86,109.96 = 20,462 : x
  2. Step 2: Convert to fraction form
    57,400.88/86,109.96 = 20,462/x
  3. Step 3: Cross multiply
    57,400.88x = 86,109.96 × 20,462
  4. Step 4: Simplify right side
    57,400.88x = 1,761,982,001.52
  5. Step 5: Solve for x
    x = 1,761,982,001.52/57,400.88
  6. Step 6: Final answer
    x = 30,696.08

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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.