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Finding the Fourth Proportional to 259,975, 358,765.50 and 140,743

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Solution

The fourth proportional to 259,975, 358,765.50 and 140,743 is: 194,225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,975 : 358,765.50 = 140,743 : x
  2. Step 2: Convert to fraction form
    259,975/358,765.50 = 140,743/x
  3. Step 3: Cross multiply
    259,975x = 358,765.50 × 140,743
  4. Step 4: Simplify right side
    259,975x = 50,493,732,766.50
  5. Step 5: Solve for x
    x = 50,493,732,766.50/259,975
  6. Step 6: Final answer
    x = 194,225.34

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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.