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Finding the Fourth Proportional to 67,218.59, 100,842.44 and 20,470.25

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Solution

The fourth proportional to 67,218.59, 100,842.44 and 20,470.25 is: 30,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,218.59 : 100,842.44 = 20,470.25 : x
  2. Step 2: Convert to fraction form
    67,218.59/100,842.44 = 20,470.25/x
  3. Step 3: Cross multiply
    67,218.59x = 100,842.44 × 20,470.25
  4. Step 4: Simplify right side
    67,218.59x = 2,064,270,107.16
  5. Step 5: Solve for x
    x = 2,064,270,107.16/67,218.59
  6. Step 6: Final answer
    x = 30,709.81

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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.