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Finding the Fourth Proportional to 178,458.25, 267,673.19 and 71,767

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Solution

The fourth proportional to 178,458.25, 267,673.19 and 71,767 is: 107,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,458.25 : 267,673.19 = 71,767 : x
  2. Step 2: Convert to fraction form
    178,458.25/267,673.19 = 71,767/x
  3. Step 3: Cross multiply
    178,458.25x = 267,673.19 × 71,767
  4. Step 4: Simplify right side
    178,458.25x = 19,210,101,826.73
  5. Step 5: Solve for x
    x = 19,210,101,826.73/178,458.25
  6. Step 6: Final answer
    x = 107,644.80

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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.