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Finding the Fourth Proportional to 207,538.80, 311,405.40 and 107,811.60

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Solution

The fourth proportional to 207,538.80, 311,405.40 and 107,811.60 is: 161,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,538.80 : 311,405.40 = 107,811.60 : x
  2. Step 2: Convert to fraction form
    207,538.80/311,405.40 = 107,811.60/x
  3. Step 3: Cross multiply
    207,538.80x = 311,405.40 × 107,811.60
  4. Step 4: Simplify right side
    207,538.80x = 33,573,114,422.64
  5. Step 5: Solve for x
    x = 33,573,114,422.64/207,538.80
  6. Step 6: Final answer
    x = 161,767.89

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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.