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Finding the Fourth Proportional to 53,808.48, 80,676.27 and 18,729

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Solution

The fourth proportional to 53,808.48, 80,676.27 and 18,729 is: 28,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,808.48 : 80,676.27 = 18,729 : x
  2. Step 2: Convert to fraction form
    53,808.48/80,676.27 = 18,729/x
  3. Step 3: Cross multiply
    53,808.48x = 80,676.27 × 18,729
  4. Step 4: Simplify right side
    53,808.48x = 1,510,985,860.83
  5. Step 5: Solve for x
    x = 1,510,985,860.83/53,808.48
  6. Step 6: Final answer
    x = 28,080.81

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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.