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Finding the Fourth Proportional to 197,164.56, 295,628.40 and 77,078.47

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Solution

The fourth proportional to 197,164.56, 295,628.40 and 77,078.47 is: 115,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,164.56 : 295,628.40 = 77,078.47 : x
  2. Step 2: Convert to fraction form
    197,164.56/295,628.40 = 77,078.47/x
  3. Step 3: Cross multiply
    197,164.56x = 295,628.40 × 77,078.47
  4. Step 4: Simplify right side
    197,164.56x = 22,786,585,497.79
  5. Step 5: Solve for x
    x = 22,786,585,497.79/197,164.56
  6. Step 6: Final answer
    x = 115,571.41

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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.