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Finding the Fourth Proportional to 72,739.91, 109,109.85 and 20,149.39

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Solution

The fourth proportional to 72,739.91, 109,109.85 and 20,149.39 is: 30,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,739.91 : 109,109.85 = 20,149.39 : x
  2. Step 2: Convert to fraction form
    72,739.91/109,109.85 = 20,149.39/x
  3. Step 3: Cross multiply
    72,739.91x = 109,109.85 × 20,149.39
  4. Step 4: Simplify right side
    72,739.91x = 2,198,497,094.66
  5. Step 5: Solve for x
    x = 2,198,497,094.66/72,739.91
  6. Step 6: Final answer
    x = 30,224.08

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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.