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Finding the Fourth Proportional to 225,867.80, 311,767.37 and 145,295.39

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Solution

The fourth proportional to 225,867.80, 311,767.37 and 145,295.39 is: 200,552.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,867.80 : 311,767.37 = 145,295.39 : x
  2. Step 2: Convert to fraction form
    225,867.80/311,767.37 = 145,295.39/x
  3. Step 3: Cross multiply
    225,867.80x = 311,767.37 × 145,295.39
  4. Step 4: Simplify right side
    225,867.80x = 45,298,359,328.11
  5. Step 5: Solve for x
    x = 45,298,359,328.11/225,867.80
  6. Step 6: Final answer
    x = 200,552.53

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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.