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Finding the Fourth Proportional to 259,245, 357,758.10 and 140,013

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Solution

The fourth proportional to 259,245, 357,758.10 and 140,013 is: 193,217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,245 : 357,758.10 = 140,013 : x
  2. Step 2: Convert to fraction form
    259,245/357,758.10 = 140,013/x
  3. Step 3: Cross multiply
    259,245x = 357,758.10 × 140,013
  4. Step 4: Simplify right side
    259,245x = 50,090,784,855.30
  5. Step 5: Solve for x
    x = 50,090,784,855.30/259,245
  6. Step 6: Final answer
    x = 193,217.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.