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Finding the Fourth Proportional to 178,115.85, 267,090.72 and 103,257.42

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Solution

The fourth proportional to 178,115.85, 267,090.72 and 103,257.42 is: 154,837.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,115.85 : 267,090.72 = 103,257.42 : x
  2. Step 2: Convert to fraction form
    178,115.85/267,090.72 = 103,257.42/x
  3. Step 3: Cross multiply
    178,115.85x = 267,090.72 × 103,257.42
  4. Step 4: Simplify right side
    178,115.85x = 27,579,098,653.14
  5. Step 5: Solve for x
    x = 27,579,098,653.14/178,115.85
  6. Step 6: Final answer
    x = 154,837.98

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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.