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Finding the Fourth Proportional to 71,673.14, 107,509.96 and 21,753.66

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Solution

The fourth proportional to 71,673.14, 107,509.96 and 21,753.66 is: 32,630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,673.14 : 107,509.96 = 21,753.66 : x
  2. Step 2: Convert to fraction form
    71,673.14/107,509.96 = 21,753.66/x
  3. Step 3: Cross multiply
    71,673.14x = 107,509.96 × 21,753.66
  4. Step 4: Simplify right side
    71,673.14x = 2,338,735,116.45
  5. Step 5: Solve for x
    x = 2,338,735,116.45/71,673.14
  6. Step 6: Final answer
    x = 32,630.57

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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.