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Finding the Fourth Proportional to 197,141.80, 295,550.70 and 84,908.20

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Solution

The fourth proportional to 197,141.80, 295,550.70 and 84,908.20 is: 127,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,141.80 : 295,550.70 = 84,908.20 : x
  2. Step 2: Convert to fraction form
    197,141.80/295,550.70 = 84,908.20/x
  3. Step 3: Cross multiply
    197,141.80x = 295,550.70 × 84,908.20
  4. Step 4: Simplify right side
    197,141.80x = 25,094,677,945.74
  5. Step 5: Solve for x
    x = 25,094,677,945.74/197,141.80
  6. Step 6: Final answer
    x = 127,292.53

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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.