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Finding the Fourth Proportional to 207,313.70, 311,036.16 and 74,191

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Solution

The fourth proportional to 207,313.70, 311,036.16 and 74,191 is: 111,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,313.70 : 311,036.16 = 74,191 : x
  2. Step 2: Convert to fraction form
    207,313.70/311,036.16 = 74,191/x
  3. Step 3: Cross multiply
    207,313.70x = 311,036.16 × 74,191
  4. Step 4: Simplify right side
    207,313.70x = 23,076,083,746.56
  5. Step 5: Solve for x
    x = 23,076,083,746.56/207,313.70
  6. Step 6: Final answer
    x = 111,309.98

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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.