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Finding the Fourth Proportional to 53,447.88, 80,109.84 and 20,146.62

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Solution

The fourth proportional to 53,447.88, 80,109.84 and 20,146.62 is: 30,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,447.88 : 80,109.84 = 20,146.62 : x
  2. Step 2: Convert to fraction form
    53,447.88/80,109.84 = 20,146.62/x
  3. Step 3: Cross multiply
    53,447.88x = 80,109.84 × 20,146.62
  4. Step 4: Simplify right side
    53,447.88x = 1,613,942,504.74
  5. Step 5: Solve for x
    x = 1,613,942,504.74/53,447.88
  6. Step 6: Final answer
    x = 30,196.57

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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.