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Finding the Fourth Proportional to 208,913.14, 313,249.51 and 111,419.46

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Solution

The fourth proportional to 208,913.14, 313,249.51 and 111,419.46 is: 167,065.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,913.14 : 313,249.51 = 111,419.46 : x
  2. Step 2: Convert to fraction form
    208,913.14/313,249.51 = 111,419.46/x
  3. Step 3: Cross multiply
    208,913.14x = 313,249.51 × 111,419.46
  4. Step 4: Simplify right side
    208,913.14x = 34,902,090,692.37
  5. Step 5: Solve for x
    x = 34,902,090,692.37/208,913.14
  6. Step 6: Final answer
    x = 167,065.09

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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.