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Finding the Fourth Proportional to 178,638.76, 267,754.30 and 71,954.43

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Solution

The fourth proportional to 178,638.76, 267,754.30 and 71,954.43 is: 107,849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,638.76 : 267,754.30 = 71,954.43 : x
  2. Step 2: Convert to fraction form
    178,638.76/267,754.30 = 71,954.43/x
  3. Step 3: Cross multiply
    178,638.76x = 267,754.30 × 71,954.43
  4. Step 4: Simplify right side
    178,638.76x = 19,266,108,036.55
  5. Step 5: Solve for x
    x = 19,266,108,036.55/178,638.76
  6. Step 6: Final answer
    x = 107,849.54

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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.