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Finding the Fourth Proportional to 197,141.92, 295,712.58 and 78,841

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Solution

The fourth proportional to 197,141.92, 295,712.58 and 78,841 is: 118,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,141.92 : 295,712.58 = 78,841 : x
  2. Step 2: Convert to fraction form
    197,141.92/295,712.58 = 78,841/x
  3. Step 3: Cross multiply
    197,141.92x = 295,712.58 × 78,841
  4. Step 4: Simplify right side
    197,141.92x = 23,314,275,519.78
  5. Step 5: Solve for x
    x = 23,314,275,519.78/197,141.92
  6. Step 6: Final answer
    x = 118,261.38

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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.