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Finding the Fourth Proportional to 208,987.20, 313,351.20 and 120,196.80

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Solution

The fourth proportional to 208,987.20, 313,351.20 and 120,196.80 is: 180,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,987.20 : 313,351.20 = 120,196.80 : x
  2. Step 2: Convert to fraction form
    208,987.20/313,351.20 = 120,196.80/x
  3. Step 3: Cross multiply
    208,987.20x = 313,351.20 × 120,196.80
  4. Step 4: Simplify right side
    208,987.20x = 37,663,811,516.16
  5. Step 5: Solve for x
    x = 37,663,811,516.16/208,987.20
  6. Step 6: Final answer
    x = 180,220.66

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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.