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Finding the Fourth Proportional to 207,980.42, 311,992.50 and 67,749.98

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Solution

The fourth proportional to 207,980.42, 311,992.50 and 67,749.98 is: 101,632.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,980.42 : 311,992.50 = 67,749.98 : x
  2. Step 2: Convert to fraction form
    207,980.42/311,992.50 = 67,749.98/x
  3. Step 3: Cross multiply
    207,980.42x = 311,992.50 × 67,749.98
  4. Step 4: Simplify right side
    207,980.42x = 21,137,485,635.15
  5. Step 5: Solve for x
    x = 21,137,485,635.15/207,980.42
  6. Step 6: Final answer
    x = 101,632.09

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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.