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Finding the Fourth Proportional to 71,805.62, 107,723.97 and 21,884.40

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Solution

The fourth proportional to 71,805.62, 107,723.97 and 21,884.40 is: 32,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,805.62 : 107,723.97 = 21,884.40 : x
  2. Step 2: Convert to fraction form
    71,805.62/107,723.97 = 21,884.40/x
  3. Step 3: Cross multiply
    71,805.62x = 107,723.97 × 21,884.40
  4. Step 4: Simplify right side
    71,805.62x = 2,357,474,449.07
  5. Step 5: Solve for x
    x = 2,357,474,449.07/71,805.62
  6. Step 6: Final answer
    x = 32,831.34

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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.