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Finding the Fourth Proportional to 225,402.74, 311,055.91 and 140,520.14

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Solution

The fourth proportional to 225,402.74, 311,055.91 and 140,520.14 is: 193,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,402.74 : 311,055.91 = 140,520.14 : x
  2. Step 2: Convert to fraction form
    225,402.74/311,055.91 = 140,520.14/x
  3. Step 3: Cross multiply
    225,402.74x = 311,055.91 × 140,520.14
  4. Step 4: Simplify right side
    225,402.74x = 43,709,620,021.03
  5. Step 5: Solve for x
    x = 43,709,620,021.03/225,402.74
  6. Step 6: Final answer
    x = 193,917.87

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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.