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Finding the Fourth Proportional to 260,135, 358,986.30 and 140,903

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Solution

The fourth proportional to 260,135, 358,986.30 and 140,903 is: 194,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,135 : 358,986.30 = 140,903 : x
  2. Step 2: Convert to fraction form
    260,135/358,986.30 = 140,903/x
  3. Step 3: Cross multiply
    260,135x = 358,986.30 × 140,903
  4. Step 4: Simplify right side
    260,135x = 50,582,246,628.90
  5. Step 5: Solve for x
    x = 50,582,246,628.90/260,135
  6. Step 6: Final answer
    x = 194,446.14

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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.