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Finding the Fourth Proportional to 207,755.28, 311,632.92 and 118,947.29

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Solution

The fourth proportional to 207,755.28, 311,632.92 and 118,947.29 is: 178,420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,755.28 : 311,632.92 = 118,947.29 : x
  2. Step 2: Convert to fraction form
    207,755.28/311,632.92 = 118,947.29/x
  3. Step 3: Cross multiply
    207,755.28x = 311,632.92 × 118,947.29
  4. Step 4: Simplify right side
    207,755.28x = 37,067,889,750.62
  5. Step 5: Solve for x
    x = 37,067,889,750.62/207,755.28
  6. Step 6: Final answer
    x = 178,420.93

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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.