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Finding the Fourth Proportional to 207,843.84, 311,654.79 and 107,903.34

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Solution

The fourth proportional to 207,843.84, 311,654.79 and 107,903.34 is: 161,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,843.84 : 311,654.79 = 107,903.34 : x
  2. Step 2: Convert to fraction form
    207,843.84/311,654.79 = 107,903.34/x
  3. Step 3: Cross multiply
    207,843.84x = 311,654.79 × 107,903.34
  4. Step 4: Simplify right side
    207,843.84x = 33,628,592,768.00
  5. Step 5: Solve for x
    x = 33,628,592,768.00/207,843.84
  6. Step 6: Final answer
    x = 161,797.40

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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.