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Finding the Fourth Proportional to 71,735, 107,619.78 and 22,487

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Solution

The fourth proportional to 71,735, 107,619.78 and 22,487 is: 33,735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,735 : 107,619.78 = 22,487 : x
  2. Step 2: Convert to fraction form
    71,735/107,619.78 = 22,487/x
  3. Step 3: Cross multiply
    71,735x = 107,619.78 × 22,487
  4. Step 4: Simplify right side
    71,735x = 2,420,045,992.86
  5. Step 5: Solve for x
    x = 2,420,045,992.86/71,735
  6. Step 6: Final answer
    x = 33,735.92

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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.