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Finding the Fourth Proportional to 225,716.95, 311,487.40 and 123,740.55

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Solution

The fourth proportional to 225,716.95, 311,487.40 and 123,740.55 is: 170,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,716.95 : 311,487.40 = 123,740.55 : x
  2. Step 2: Convert to fraction form
    225,716.95/311,487.40 = 123,740.55/x
  3. Step 3: Cross multiply
    225,716.95x = 311,487.40 × 123,740.55
  4. Step 4: Simplify right side
    225,716.95x = 38,543,623,052.80
  5. Step 5: Solve for x
    x = 38,543,623,052.80/225,716.95
  6. Step 6: Final answer
    x = 170,760.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.