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Finding the Fourth Proportional to 87,628, 120,926.64 and 47,884

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Solution

The fourth proportional to 87,628, 120,926.64 and 47,884 is: 66,079.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,628 : 120,926.64 = 47,884 : x
  2. Step 2: Convert to fraction form
    87,628/120,926.64 = 47,884/x
  3. Step 3: Cross multiply
    87,628x = 120,926.64 × 47,884
  4. Step 4: Simplify right side
    87,628x = 5,790,451,229.76
  5. Step 5: Solve for x
    x = 5,790,451,229.76/87,628
  6. Step 6: Final answer
    x = 66,079.92

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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.