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Finding the Fourth Proportional to 208,205.70, 312,261.81 and 95,777.94

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Solution

The fourth proportional to 208,205.70, 312,261.81 and 95,777.94 is: 143,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,205.70 : 312,261.81 = 95,777.94 : x
  2. Step 2: Convert to fraction form
    208,205.70/312,261.81 = 95,777.94/x
  3. Step 3: Cross multiply
    208,205.70x = 312,261.81 × 95,777.94
  4. Step 4: Simplify right side
    208,205.70x = 29,907,792,902.47
  5. Step 5: Solve for x
    x = 29,907,792,902.47/208,205.70
  6. Step 6: Final answer
    x = 143,645.41

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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.