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Finding the Fourth Proportional to 208,999.98, 313,499.97 and 84,253.50

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Solution

The fourth proportional to 208,999.98, 313,499.97 and 84,253.50 is: 126,380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,999.98 : 313,499.97 = 84,253.50 : x
  2. Step 2: Convert to fraction form
    208,999.98/313,499.97 = 84,253.50/x
  3. Step 3: Cross multiply
    208,999.98x = 313,499.97 × 84,253.50
  4. Step 4: Simplify right side
    208,999.98x = 26,413,469,722.40
  5. Step 5: Solve for x
    x = 26,413,469,722.40/208,999.98
  6. Step 6: Final answer
    x = 126,380.25

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1.5x scale

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.