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Finding the Fourth Proportional to 72,784.91, 109,177.41 and 20,194.45

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Solution

The fourth proportional to 72,784.91, 109,177.41 and 20,194.45 is: 30,291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,784.91 : 109,177.41 = 20,194.45 : x
  2. Step 2: Convert to fraction form
    72,784.91/109,177.41 = 20,194.45/x
  3. Step 3: Cross multiply
    72,784.91x = 109,177.41 × 20,194.45
  4. Step 4: Simplify right side
    72,784.91x = 2,204,777,747.37
  5. Step 5: Solve for x
    x = 2,204,777,747.37/72,784.91
  6. Step 6: Final answer
    x = 30,291.69

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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.