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Finding the Fourth Proportional to 225,465.39, 311,193.27 and 140,566.05

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Solution

The fourth proportional to 225,465.39, 311,193.27 and 140,566.05 is: 194,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,465.39 : 311,193.27 = 140,566.05 : x
  2. Step 2: Convert to fraction form
    225,465.39/311,193.27 = 140,566.05/x
  3. Step 3: Cross multiply
    225,465.39x = 311,193.27 × 140,566.05
  4. Step 4: Simplify right side
    225,465.39x = 43,743,208,750.48
  5. Step 5: Solve for x
    x = 43,743,208,750.48/225,465.39
  6. Step 6: Final answer
    x = 194,012.96

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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.