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Finding the Fourth Proportional to 53,419.69, 80,148.12 and 20,149.30

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Solution

The fourth proportional to 53,419.69, 80,148.12 and 20,149.30 is: 30,230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,419.69 : 80,148.12 = 20,149.30 : x
  2. Step 2: Convert to fraction form
    53,419.69/80,148.12 = 20,149.30/x
  3. Step 3: Cross multiply
    53,419.69x = 80,148.12 × 20,149.30
  4. Step 4: Simplify right side
    53,419.69x = 1,614,928,514.32
  5. Step 5: Solve for x
    x = 1,614,928,514.32/53,419.69
  6. Step 6: Final answer
    x = 30,230.96

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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.