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Finding the Fourth Proportional to 260,134, 358,984.92 and 140,902

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Solution

The fourth proportional to 260,134, 358,984.92 and 140,902 is: 194,444.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,134 : 358,984.92 = 140,902 : x
  2. Step 2: Convert to fraction form
    260,134/358,984.92 = 140,902/x
  3. Step 3: Cross multiply
    260,134x = 358,984.92 × 140,902
  4. Step 4: Simplify right side
    260,134x = 50,581,693,197.84
  5. Step 5: Solve for x
    x = 50,581,693,197.84/260,134
  6. Step 6: Final answer
    x = 194,444.76

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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.