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Finding the Fourth Proportional to 72,739.71, 109,109.55 and 20,149.20

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Solution

The fourth proportional to 72,739.71, 109,109.55 and 20,149.20 is: 30,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,739.71 : 109,109.55 = 20,149.20 : x
  2. Step 2: Convert to fraction form
    72,739.71/109,109.55 = 20,149.20/x
  3. Step 3: Cross multiply
    72,739.71x = 109,109.55 × 20,149.20
  4. Step 4: Simplify right side
    72,739.71x = 2,198,470,144.86
  5. Step 5: Solve for x
    x = 2,198,470,144.86/72,739.71
  6. Step 6: Final answer
    x = 30,223.80

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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.