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Finding the Fourth Proportional to 208,999.20, 313,575.60 and 84,352.80

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Solution

The fourth proportional to 208,999.20, 313,575.60 and 84,352.80 is: 126,560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,999.20 : 313,575.60 = 84,352.80 : x
  2. Step 2: Convert to fraction form
    208,999.20/313,575.60 = 84,352.80/x
  3. Step 3: Cross multiply
    208,999.20x = 313,575.60 × 84,352.80
  4. Step 4: Simplify right side
    208,999.20x = 26,450,979,871.68
  5. Step 5: Solve for x
    x = 26,450,979,871.68/208,999.20
  6. Step 6: Final answer
    x = 126,560.20

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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.