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Finding the Fourth Proportional to 71,177.52, 106,766.30 and 18,586.55

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Solution

The fourth proportional to 71,177.52, 106,766.30 and 18,586.55 is: 27,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,177.52 : 106,766.30 = 18,586.55 : x
  2. Step 2: Convert to fraction form
    71,177.52/106,766.30 = 18,586.55/x
  3. Step 3: Cross multiply
    71,177.52x = 106,766.30 × 18,586.55
  4. Step 4: Simplify right side
    71,177.52x = 1,984,416,546.50
  5. Step 5: Solve for x
    x = 1,984,416,546.50/71,177.52
  6. Step 6: Final answer
    x = 27,879.82

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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.