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Finding the Fourth Proportional to 53,701.60, 80,494.80 and 20,408.80

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Solution

The fourth proportional to 53,701.60, 80,494.80 and 20,408.80 is: 30,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,701.60 : 80,494.80 = 20,408.80 : x
  2. Step 2: Convert to fraction form
    53,701.60/80,494.80 = 20,408.80/x
  3. Step 3: Cross multiply
    53,701.60x = 80,494.80 × 20,408.80
  4. Step 4: Simplify right side
    53,701.60x = 1,642,802,274.24
  5. Step 5: Solve for x
    x = 1,642,802,274.24/53,701.60
  6. Step 6: Final answer
    x = 30,591.31

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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.