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Finding the Fourth Proportional to 208,984.32, 313,521.84 and 68,737.68

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Solution

The fourth proportional to 208,984.32, 313,521.84 and 68,737.68 is: 103,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,984.32 : 313,521.84 = 68,737.68 : x
  2. Step 2: Convert to fraction form
    208,984.32/313,521.84 = 68,737.68/x
  3. Step 3: Cross multiply
    208,984.32x = 313,521.84 × 68,737.68
  4. Step 4: Simplify right side
    208,984.32x = 21,550,763,910.93
  5. Step 5: Solve for x
    x = 21,550,763,910.93/208,984.32
  6. Step 6: Final answer
    x = 103,121.44

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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.