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Finding the Fourth Proportional to 208,793.80, 313,189.82 and 75,642.84

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Solution

The fourth proportional to 208,793.80, 313,189.82 and 75,642.84 is: 113,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,793.80 : 313,189.82 = 75,642.84 : x
  2. Step 2: Convert to fraction form
    208,793.80/313,189.82 = 75,642.84/x
  3. Step 3: Cross multiply
    208,793.80x = 313,189.82 × 75,642.84
  4. Step 4: Simplify right side
    208,793.80x = 23,690,567,443.89
  5. Step 5: Solve for x
    x = 23,690,567,443.89/208,793.80
  6. Step 6: Final answer
    x = 113,463.94

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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.