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Finding the Fourth Proportional to 225,469.28, 311,146.92 and 127,341.77

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Solution

The fourth proportional to 225,469.28, 311,146.92 and 127,341.77 is: 175,731.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,469.28 : 311,146.92 = 127,341.77 : x
  2. Step 2: Convert to fraction form
    225,469.28/311,146.92 = 127,341.77/x
  3. Step 3: Cross multiply
    225,469.28x = 311,146.92 × 127,341.77
  4. Step 4: Simplify right side
    225,469.28x = 39,621,997,967.11
  5. Step 5: Solve for x
    x = 39,621,997,967.11/225,469.28
  6. Step 6: Final answer
    x = 175,731.25

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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.