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Finding the Fourth Proportional to 208,172.62, 312,274.73 and 81,751.87

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Solution

The fourth proportional to 208,172.62, 312,274.73 and 81,751.87 is: 122,634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,172.62 : 312,274.73 = 81,751.87 : x
  2. Step 2: Convert to fraction form
    208,172.62/312,274.73 = 81,751.87/x
  3. Step 3: Cross multiply
    208,172.62x = 312,274.73 × 81,751.87
  4. Step 4: Simplify right side
    208,172.62x = 25,529,043,131.25
  5. Step 5: Solve for x
    x = 25,529,043,131.25/208,172.62
  6. Step 6: Final answer
    x = 122,634.01

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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.