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Finding the Fourth Proportional to 47,861.82, 71,770.86 and 16,689.78

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Solution

The fourth proportional to 47,861.82, 71,770.86 and 16,689.78 is: 25,027.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,861.82 : 71,770.86 = 16,689.78 : x
  2. Step 2: Convert to fraction form
    47,861.82/71,770.86 = 16,689.78/x
  3. Step 3: Cross multiply
    47,861.82x = 71,770.86 × 16,689.78
  4. Step 4: Simplify right side
    47,861.82x = 1,197,839,863.81
  5. Step 5: Solve for x
    x = 1,197,839,863.81/47,861.82
  6. Step 6: Final answer
    x = 25,027.04

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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.