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Finding the Fourth Proportional to 178,257, 267,380.03 and 72,996.69

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Solution

The fourth proportional to 178,257, 267,380.03 and 72,996.69 is: 109,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,257 : 267,380.03 = 72,996.69 : x
  2. Step 2: Convert to fraction form
    178,257/267,380.03 = 72,996.69/x
  3. Step 3: Cross multiply
    178,257x = 267,380.03 × 72,996.69
  4. Step 4: Simplify right side
    178,257x = 19,517,857,162.10
  5. Step 5: Solve for x
    x = 19,517,857,162.10/178,257
  6. Step 6: Final answer
    x = 109,492.80

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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.