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Finding the Fourth Proportional to 53,714.52, 80,559.63 and 20,422.71

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Solution

The fourth proportional to 53,714.52, 80,559.63 and 20,422.71 is: 30,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,714.52 : 80,559.63 = 20,422.71 : x
  2. Step 2: Convert to fraction form
    53,714.52/80,559.63 = 20,422.71/x
  3. Step 3: Cross multiply
    53,714.52x = 80,559.63 × 20,422.71
  4. Step 4: Simplify right side
    53,714.52x = 1,645,245,961.20
  5. Step 5: Solve for x
    x = 1,645,245,961.20/53,714.52
  6. Step 6: Final answer
    x = 30,629.45

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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.