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Finding the Fourth Proportional to 451,134, 676,701 and 135,591.21

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Solution

The fourth proportional to 451,134, 676,701 and 135,591.21 is: 203,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,134 : 676,701 = 135,591.21 : x
  2. Step 2: Convert to fraction form
    451,134/676,701 = 135,591.21/x
  3. Step 3: Cross multiply
    451,134x = 676,701 × 135,591.21
  4. Step 4: Simplify right side
    451,134x = 91,754,707,398.21
  5. Step 5: Solve for x
    x = 91,754,707,398.21/451,134
  6. Step 6: Final answer
    x = 203,386.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.