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Finding the Fourth Proportional to 53,814.88, 80,722.50 and 18,730

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Solution

The fourth proportional to 53,814.88, 80,722.50 and 18,730 is: 28,095.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,814.88 : 80,722.50 = 18,730 : x
  2. Step 2: Convert to fraction form
    53,814.88/80,722.50 = 18,730/x
  3. Step 3: Cross multiply
    53,814.88x = 80,722.50 × 18,730
  4. Step 4: Simplify right side
    53,814.88x = 1,511,932,425
  5. Step 5: Solve for x
    x = 1,511,932,425/53,814.88
  6. Step 6: Final answer
    x = 28,095.06

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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.