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Finding the Fourth Proportional to 260,132, 358,982.16 and 140,900

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Solution

The fourth proportional to 260,132, 358,982.16 and 140,900 is: 194,442

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,132 : 358,982.16 = 140,900 : x
  2. Step 2: Convert to fraction form
    260,132/358,982.16 = 140,900/x
  3. Step 3: Cross multiply
    260,132x = 358,982.16 × 140,900
  4. Step 4: Simplify right side
    260,132x = 50,580,586,344
  5. Step 5: Solve for x
    x = 50,580,586,344/260,132
  6. Step 6: Final answer
    x = 194,442

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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.