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Finding the Fourth Proportional to 57,398.82, 86,098.11 and 15,278.91

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Solution

The fourth proportional to 57,398.82, 86,098.11 and 15,278.91 is: 22,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,398.82 : 86,098.11 = 15,278.91 : x
  2. Step 2: Convert to fraction form
    57,398.82/86,098.11 = 15,278.91/x
  3. Step 3: Cross multiply
    57,398.82x = 86,098.11 × 15,278.91
  4. Step 4: Simplify right side
    57,398.82x = 1,315,485,273.86
  5. Step 5: Solve for x
    x = 1,315,485,273.86/57,398.82
  6. Step 6: Final answer
    x = 22,918.33

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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.