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Finding the Fourth Proportional to 71,709.93, 107,564.82 and 21,789.84

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Solution

The fourth proportional to 71,709.93, 107,564.82 and 21,789.84 is: 32,684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,709.93 : 107,564.82 = 21,789.84 : x
  2. Step 2: Convert to fraction form
    71,709.93/107,564.82 = 21,789.84/x
  3. Step 3: Cross multiply
    71,709.93x = 107,564.82 × 21,789.84
  4. Step 4: Simplify right side
    71,709.93x = 2,343,820,217.43
  5. Step 5: Solve for x
    x = 2,343,820,217.43/71,709.93
  6. Step 6: Final answer
    x = 32,684.74

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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.