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Finding the Fourth Proportional to 208,243.80, 312,135.30 and 114,816.60

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Solution

The fourth proportional to 208,243.80, 312,135.30 and 114,816.60 is: 172,097.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,243.80 : 312,135.30 = 114,816.60 : x
  2. Step 2: Convert to fraction form
    208,243.80/312,135.30 = 114,816.60/x
  3. Step 3: Cross multiply
    208,243.80x = 312,135.30 × 114,816.60
  4. Step 4: Simplify right side
    208,243.80x = 35,838,313,885.98
  5. Step 5: Solve for x
    x = 35,838,313,885.98/208,243.80
  6. Step 6: Final answer
    x = 172,097.87

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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.