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Finding the Fourth Proportional to 53,486.82, 80,186.49 and 20,187.92

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Solution

The fourth proportional to 53,486.82, 80,186.49 and 20,187.92 is: 30,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,486.82 : 80,186.49 = 20,187.92 : x
  2. Step 2: Convert to fraction form
    53,486.82/80,186.49 = 20,187.92/x
  3. Step 3: Cross multiply
    53,486.82x = 80,186.49 × 20,187.92
  4. Step 4: Simplify right side
    53,486.82x = 1,618,798,645.67
  5. Step 5: Solve for x
    x = 1,618,798,645.67/53,486.82
  6. Step 6: Final answer
    x = 30,265.37

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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.