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Finding the Fourth Proportional to 208,999.20, 313,369.20 and 120,208.80

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Solution

The fourth proportional to 208,999.20, 313,369.20 and 120,208.80 is: 180,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,999.20 : 313,369.20 = 120,208.80 : x
  2. Step 2: Convert to fraction form
    208,999.20/313,369.20 = 120,208.80/x
  3. Step 3: Cross multiply
    208,999.20x = 313,369.20 × 120,208.80
  4. Step 4: Simplify right side
    208,999.20x = 37,669,735,488.96
  5. Step 5: Solve for x
    x = 37,669,735,488.96/208,999.20
  6. Step 6: Final answer
    x = 180,238.66

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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.