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Finding the Fourth Proportional to 89,617, 123,671.46 and 49,873

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Solution

The fourth proportional to 89,617, 123,671.46 and 49,873 is: 68,824.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,617 : 123,671.46 = 49,873 : x
  2. Step 2: Convert to fraction form
    89,617/123,671.46 = 49,873/x
  3. Step 3: Cross multiply
    89,617x = 123,671.46 × 49,873
  4. Step 4: Simplify right side
    89,617x = 6,167,866,724.58
  5. Step 5: Solve for x
    x = 6,167,866,724.58/89,617
  6. Step 6: Final answer
    x = 68,824.74

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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.