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Finding the Fourth Proportional to 197,694.75, 295,798.13 and 138,645.63

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Solution

The fourth proportional to 197,694.75, 295,798.13 and 138,645.63 is: 207,446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,694.75 : 295,798.13 = 138,645.63 : x
  2. Step 2: Convert to fraction form
    197,694.75/295,798.13 = 138,645.63/x
  3. Step 3: Cross multiply
    197,694.75x = 295,798.13 × 138,645.63
  4. Step 4: Simplify right side
    197,694.75x = 41,011,117,393.44
  5. Step 5: Solve for x
    x = 41,011,117,393.44/197,694.75
  6. Step 6: Final answer
    x = 207,446.67

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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.