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Finding the Fourth Proportional to 207,409, 311,159.58 and 76,081

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Solution

The fourth proportional to 207,409, 311,159.58 and 76,081 is: 114,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,409 : 311,159.58 = 76,081 : x
  2. Step 2: Convert to fraction form
    207,409/311,159.58 = 76,081/x
  3. Step 3: Cross multiply
    207,409x = 311,159.58 × 76,081
  4. Step 4: Simplify right side
    207,409x = 23,673,332,005.98
  5. Step 5: Solve for x
    x = 23,673,332,005.98/207,409
  6. Step 6: Final answer
    x = 114,138.40

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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.