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Finding the Fourth Proportional to 178,097.38, 267,143.82 and 71,528.50

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Solution

The fourth proportional to 178,097.38, 267,143.82 and 71,528.50 is: 107,291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,097.38 : 267,143.82 = 71,528.50 : x
  2. Step 2: Convert to fraction form
    178,097.38/267,143.82 = 71,528.50/x
  3. Step 3: Cross multiply
    178,097.38x = 267,143.82 × 71,528.50
  4. Step 4: Simplify right side
    178,097.38x = 19,108,396,728.87
  5. Step 5: Solve for x
    x = 19,108,396,728.87/178,097.38
  6. Step 6: Final answer
    x = 107,291.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.