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Finding the Fourth Proportional to 259,911, 358,678.26 and 140,679

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Solution

The fourth proportional to 259,911, 358,678.26 and 140,679 is: 194,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,911 : 358,678.26 = 140,679 : x
  2. Step 2: Convert to fraction form
    259,911/358,678.26 = 140,679/x
  3. Step 3: Cross multiply
    259,911x = 358,678.26 × 140,679
  4. Step 4: Simplify right side
    259,911x = 50,458,498,938.54
  5. Step 5: Solve for x
    x = 50,458,498,938.54/259,911
  6. Step 6: Final answer
    x = 194,137.60

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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.