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Finding the Fourth Proportional to 225,868.68, 311,768.57 and 145,296.26

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Solution

The fourth proportional to 225,868.68, 311,768.57 and 145,296.26 is: 200,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,868.68 : 311,768.57 = 145,296.26 : x
  2. Step 2: Convert to fraction form
    225,868.68/311,768.57 = 145,296.26/x
  3. Step 3: Cross multiply
    225,868.68x = 311,768.57 × 145,296.26
  4. Step 4: Simplify right side
    225,868.68x = 45,298,807,206.55
  5. Step 5: Solve for x
    x = 45,298,807,206.55/225,868.68
  6. Step 6: Final answer
    x = 200,553.73

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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.