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Finding the Fourth Proportional to 73,203.82, 109,812.21 and 20,613.82

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Solution

The fourth proportional to 73,203.82, 109,812.21 and 20,613.82 is: 30,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,203.82 : 109,812.21 = 20,613.82 : x
  2. Step 2: Convert to fraction form
    73,203.82/109,812.21 = 20,613.82/x
  3. Step 3: Cross multiply
    73,203.82x = 109,812.21 × 20,613.82
  4. Step 4: Simplify right side
    73,203.82x = 2,263,649,130.74
  5. Step 5: Solve for x
    x = 2,263,649,130.74/73,203.82
  6. Step 6: Final answer
    x = 30,922.55

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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.