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Finding the Fourth Proportional to 67,212.81, 100,833.81 and 20,464.47

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Solution

The fourth proportional to 67,212.81, 100,833.81 and 20,464.47 is: 30,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,212.81 : 100,833.81 = 20,464.47 : x
  2. Step 2: Convert to fraction form
    67,212.81/100,833.81 = 20,464.47/x
  3. Step 3: Cross multiply
    67,212.81x = 100,833.81 × 20,464.47
  4. Step 4: Simplify right side
    67,212.81x = 2,063,510,479.73
  5. Step 5: Solve for x
    x = 2,063,510,479.73/67,212.81
  6. Step 6: Final answer
    x = 30,701.15

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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.