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Finding the Fourth Proportional to 207,766.80, 311,995.80 and 114,339.60

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Solution

The fourth proportional to 207,766.80, 311,995.80 and 114,339.60 is: 171,699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,766.80 : 311,995.80 = 114,339.60 : x
  2. Step 2: Convert to fraction form
    207,766.80/311,995.80 = 114,339.60/x
  3. Step 3: Cross multiply
    207,766.80x = 311,995.80 × 114,339.60
  4. Step 4: Simplify right side
    207,766.80x = 35,673,474,973.68
  5. Step 5: Solve for x
    x = 35,673,474,973.68/207,766.80
  6. Step 6: Final answer
    x = 171,699.59

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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.