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Finding the Fourth Proportional to 71,766.24, 107,640.90 and 19,179.78

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Solution

The fourth proportional to 71,766.24, 107,640.90 and 19,179.78 is: 28,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,766.24 : 107,640.90 = 19,179.78 : x
  2. Step 2: Convert to fraction form
    71,766.24/107,640.90 = 19,179.78/x
  3. Step 3: Cross multiply
    71,766.24x = 107,640.90 × 19,179.78
  4. Step 4: Simplify right side
    71,766.24x = 2,064,528,781.00
  5. Step 5: Solve for x
    x = 2,064,528,781.00/71,766.24
  6. Step 6: Final answer
    x = 28,767.41

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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.