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Finding the Fourth Proportional to 53,984.92, 80,978.82 and 18,926.68

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Solution

The fourth proportional to 53,984.92, 80,978.82 and 18,926.68 is: 28,390.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,984.92 : 80,978.82 = 18,926.68 : x
  2. Step 2: Convert to fraction form
    53,984.92/80,978.82 = 18,926.68/x
  3. Step 3: Cross multiply
    53,984.92x = 80,978.82 × 18,926.68
  4. Step 4: Simplify right side
    53,984.92x = 1,532,660,212.92
  5. Step 5: Solve for x
    x = 1,532,660,212.92/53,984.92
  6. Step 6: Final answer
    x = 28,390.52

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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.