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Finding the Fourth Proportional to 208,086.36, 311,998.32 and 114,657.72

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Solution

The fourth proportional to 208,086.36, 311,998.32 and 114,657.72 is: 171,914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,086.36 : 311,998.32 = 114,657.72 : x
  2. Step 2: Convert to fraction form
    208,086.36/311,998.32 = 114,657.72/x
  3. Step 3: Cross multiply
    208,086.36x = 311,998.32 × 114,657.72
  4. Step 4: Simplify right side
    208,086.36x = 35,773,016,015.03
  5. Step 5: Solve for x
    x = 35,773,016,015.03/208,086.36
  6. Step 6: Final answer
    x = 171,914.28

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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.