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Finding the Fourth Proportional to 207,663.84, 311,481.17 and 118,638.36

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Solution

The fourth proportional to 207,663.84, 311,481.17 and 118,638.36 is: 177,949.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,663.84 : 311,481.17 = 118,638.36 : x
  2. Step 2: Convert to fraction form
    207,663.84/311,481.17 = 118,638.36/x
  3. Step 3: Cross multiply
    207,663.84x = 311,481.17 × 118,638.36
  4. Step 4: Simplify right side
    207,663.84x = 36,953,614,586.49
  5. Step 5: Solve for x
    x = 36,953,614,586.49/207,663.84
  6. Step 6: Final answer
    x = 177,949.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.