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Finding the Fourth Proportional to 208,986.56, 313,512 and 68,712.32

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Solution

The fourth proportional to 208,986.56, 313,512 and 68,712.32 is: 103,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,986.56 : 313,512 = 68,712.32 : x
  2. Step 2: Convert to fraction form
    208,986.56/313,512 = 68,712.32/x
  3. Step 3: Cross multiply
    208,986.56x = 313,512 × 68,712.32
  4. Step 4: Simplify right side
    208,986.56x = 21,542,136,867.84
  5. Step 5: Solve for x
    x = 21,542,136,867.84/208,986.56
  6. Step 6: Final answer
    x = 103,079.05

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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.