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Finding the Fourth Proportional to 225,517, 311,213.46 and 136,093

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Solution

The fourth proportional to 225,517, 311,213.46 and 136,093 is: 187,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,517 : 311,213.46 = 136,093 : x
  2. Step 2: Convert to fraction form
    225,517/311,213.46 = 136,093/x
  3. Step 3: Cross multiply
    225,517x = 311,213.46 × 136,093
  4. Step 4: Simplify right side
    225,517x = 42,353,973,411.78
  5. Step 5: Solve for x
    x = 42,353,973,411.78/225,517
  6. Step 6: Final answer
    x = 187,808.34

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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.