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Finding the Fourth Proportional to 207,422, 311,133 and 59,678

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Solution

The fourth proportional to 207,422, 311,133 and 59,678 is: 89,517

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,422 : 311,133 = 59,678 : x
  2. Step 2: Convert to fraction form
    207,422/311,133 = 59,678/x
  3. Step 3: Cross multiply
    207,422x = 311,133 × 59,678
  4. Step 4: Simplify right side
    207,422x = 18,567,795,174
  5. Step 5: Solve for x
    x = 18,567,795,174/207,422
  6. Step 6: Final answer
    x = 89,517

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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.