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Finding the Fourth Proportional to 47,718.88, 71,435.76 and 28,942

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Solution

The fourth proportional to 47,718.88, 71,435.76 and 28,942 is: 43,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,718.88 : 71,435.76 = 28,942 : x
  2. Step 2: Convert to fraction form
    47,718.88/71,435.76 = 28,942/x
  3. Step 3: Cross multiply
    47,718.88x = 71,435.76 × 28,942
  4. Step 4: Simplify right side
    47,718.88x = 2,067,493,765.92
  5. Step 5: Solve for x
    x = 2,067,493,765.92/47,718.88
  6. Step 6: Final answer
    x = 43,326.54

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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.