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Finding the Fourth Proportional to 81,049.88, 111,861.80 and 47,515.88

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Solution

The fourth proportional to 81,049.88, 111,861.80 and 47,515.88 is: 65,579.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,049.88 : 111,861.80 = 47,515.88 : x
  2. Step 2: Convert to fraction form
    81,049.88/111,861.80 = 47,515.88/x
  3. Step 3: Cross multiply
    81,049.88x = 111,861.80 × 47,515.88
  4. Step 4: Simplify right side
    81,049.88x = 5,315,211,068.50
  5. Step 5: Solve for x
    x = 5,315,211,068.50/81,049.88
  6. Step 6: Final answer
    x = 65,579.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.