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Finding the Fourth Proportional to 207,564, 311,331.44 and 118,538.56

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Solution

The fourth proportional to 207,564, 311,331.44 and 118,538.56 is: 177,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,564 : 311,331.44 = 118,538.56 : x
  2. Step 2: Convert to fraction form
    207,564/311,331.44 = 118,538.56/x
  3. Step 3: Cross multiply
    207,564x = 311,331.44 × 118,538.56
  4. Step 4: Simplify right side
    207,564x = 36,904,780,580.33
  5. Step 5: Solve for x
    x = 36,904,780,580.33/207,564
  6. Step 6: Final answer
    x = 177,799.52

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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.